Correct answer: Explanation: Trigonometric functions are equal to 0, 1, -1 or undefined when the angle lies on an axis, meaning that the angle is equal to 0, 90, 180 or 270 degrees (0, (pi)/2, pi or 3 (pi)/2 in radians.) Trigonometric functions are undefined when they represent fractions with denominators equal to zero. Secant is the reciprocal ...Precalculus. Solve for ? sin (x)= ( square root of 2)/2. sin(x) = √2 2 sin ( x) = 2 2. Take the inverse sine of both sides of the equation to extract x x from inside the sine. x = arcsin( √2 2) x = arcsin ( 2 2) Simplify the right side. Tap for more steps... x = π 4 x = π 4. The sine function is positive in the first and second quadrants.Trigonometry. Find the Exact Value sin (pi/8) sin( π 8) sin ( π 8) Rewrite π 8 π 8 as an angle where the values of the six trigonometric functions are known divided by 2 2. sin( π 4 2) sin ( π 4 2) Apply the sine half - angle identity. ± ⎷ 1−cos(π 4) 2 ± 1 - cos ( π 4) 2. Change the ± ± to + + because sine is positive in the ...Dec 7, 2020 ... please like and subscribe my YouTube channel #12thmath #sin90+x #iit #jee thank you watch this video.sin( 89π) = − 22 − 2 Explanation: First reduce the angle to the first quadrant: sin( 89π) = sin(π+ 8π) ... How to find exact value of sin(24π) ? sin(24π) = 21 2− 2+ 3 Explanation: As 24π = 24180∘ = (721)∘ ... The answer to this question depends on exactly what you mean by expressed in radicals.May 11, 2020 ... Your browser can't play this video. Learn more.Dec 7, 2020 ... please like and subscribe my YouTube channel #12thmath #sin90+x #iit #jee thank you watch this video.Explanation: csc π 2 = 1,sec π 2 = 1/0 (undefined) and cot π 2 = 0. If P (x,y) submits alpha at the centre of unit circle, x = cos alpha , y = sinalpha, tanalpha = y/x. etc. For alpha = pi/2 , x = 0, y = 1. => cospi/2 = 0, sinpi/2 = 1 and tanpi/2= 1/0 (undefined) cscpi/2 = 1,secpi/2 = 1/0 (undefined) and cotpi/2 = 0.Trigonometry. Find the Exact Value sin ( (6pi)/2) sin( 6π 2) sin ( 6 π 2) Cancel the common factor of 6 6 and 2 2. Tap for more steps... sin(3π) sin ( 3 π) Subtract full rotations of 2π 2 π until the angle is greater than or equal to 0 0 and less than 2π 2 π. sin(π) sin ( π)2 ⋅ sin( π 12) ⋅ cos( π 12) = sin(2 ⋅ π 12) = sin( π 6) = 1 2. Substitute for simplicity: x = cos( π 12) and y = sin( π 12) Both are positive (since an angle π 12 is in the first quadrant). Also x > y since, as angle ϕ increases from 0 to π 12, cos(ϕ) decreases from 1 and sin(ϕ) increases from 0.sin2( π 6) = sin( π 6) × sin( π 6) and using the Exact value triangle for this angle. sin( π 6) = 1 2. ⇒ sin2( π 6) = 1 2 × 1 2 = 1 4. Answer link. sin^2 (pi/6)=1/4 sin (pi/6)=1/2 sin^2 (pi/6) is another way of writing: (sin (pi/6))^2 So color (white) ("XXX")sin^2 (pi/6)= (1/2)^2=1/4.Therefore, the value of sin 180 degrees = 0. The value of sin pi can be derived from some other trigonometric angles and functions like sine and cosine functions from the trigonometry table. It is known that, 180° – 0° = 180° ———– (1) …What is Sin of 2pi? The value of sin of 2pi is 0. i.e., sin 2 π = 0. From trigonometric table, we know the trigonometric ratios of standard angles 0, π/6, π/4, π/3, and π/2. So this …Explanation: The direction #theta= (3pi)/2 separates 3rd and 4th quadrants. Sine is negative in these quadrants. sin(π +θ) = sin(2π− θ) = − sinθ. sin( 3π 2) = sin(π+ π 2) = sin(2π − π 2) = −sin( π 2) = − 1. Answer link. -1 The direction theta= (3pi)/2 separates 3rd and 4th quadrants. sin(24π) = 21 2− 2+ 3 Explanation: As 24π = 24180∘ = (721)∘ ... The answer to this question depends on exactly what you mean by expressed in radicals. In the sense which is usually meant in Galois theory courses, cosπ/25 is expressible in radicals, but in a ... In the sum of angle theorems, let a =b so that cos(2a)= cos2(a)−sin2(a ... Blueberry pies have been a beloved dessert for centuries, with their sweet and tart flavors perfectly complementing one another. Whether served as a delicious ending to a family di...Click here:point_up_2:to get an answer to your question :writing_hand:prove that sin left pi over 2 theta right cos theta.The correct Answer is:C ... Step by step video, text & image solution for "sin"((pi)/(2)-x) is equal to: by Maths experts to help you in doubts & scoring ... π 2 π 2. To convert radians to degrees, multiply by 180 π 180 π, since a full circle is 360° 360 ° or 2π 2 π radians. ( π 2)⋅ 180° π ( π 2) ⋅ 180 ° π. Cancel the common factor of π π. Tap for more steps... 1 2 ⋅180 1 2 ⋅ 180. Cancel the common factor of 2 2. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Popular Problems. Trigonometry. Find the Exact Value sin (2pi) sin(2π) sin ( 2 π) Subtract full rotations of 2π 2 π until the angle is greater than or equal to 0 0 and less than 2π 2 π. … Calculus. Evaluate 3sin (pi/2) 3sin( π 2) 3 sin ( π 2) The exact value of sin(π 2) sin ( π 2) is 1 1. 3⋅1 3 ⋅ 1. Multiply 3 3 by 1 1. 3 3. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Apr 17, 2020 ... Please like and subscribe my YouTube channel #ytstoreeducation #ytstorefamily #chapter2 #11th #class12th #onlystudy #class12thmaths ...Trigonometry. Find the Exact Value sin (pi/8) sin( π 8) sin ( π 8) Rewrite π 8 π 8 as an angle where the values of the six trigonometric functions are known divided by 2 2. sin( π 4 2) sin ( π 4 2) Apply the sine half - angle identity. ± ⎷ 1−cos(π 4) 2 ± 1 - cos ( π 4) 2. Change the ± ± to + + because sine is positive in the ...Well, csc(x) = 1 sin(x) so basically, I would find sin( π 2) and use it to get: csc( π 2) = 1 sin(π 2) = 1 1 = 1. Graphically: Remember also that: Answer link. csc (theta) = 1/sin (theta) sin (pi/2) = 1 (this is a basic relation) rarr csc (pi/2) = 1.You would need an expression to work with. For example: Given sinα = 3 5 and cosα = − 4 5, you could find sin2α by using the double angle identity. sin2α = 2sinαcosα. sin2α = 2(3 5)( − 4 5) = − 24 25. You could find …Sin (Pi/2) = 1 and Sin (Pi)=0. But clearly 2 is not greater than 0. Contradiction.} Obtuse means Pi/2 < x < Pi So, sin (x) = b means b>0, because sin (y) > 0 if 0<y<Pi sin (2x)=2sin (x)cos (x) cos (x) < 0 because cos (Pi/2)= 0 and the derivative is negative there. Hence, sin (2x) = 2 sin (x) cos (x) = 2*b* (-K), where K is a positive …How do you evaluate #sin(45)cos(15)+cos(45)sin(15)#? How do you write #cos75cos35+sin75sin 35# as a single trigonometric function? How do you prove that #cos(x-y) = cosxcosy + sinxsiny#?Find the Exact Value sin(pi/12)^2. Step 1. The exact value of is . Tap for more steps... Step 1.1. Split into two angles where the values of the six trigonometric functions are known. ... Step 5.4.2. Cancel the common factor. Step 5.4.3. Rewrite the expression. Step 6. The result can be shown in multiple forms. Exact Form:To find the value of sin 9π/2 using the unit circle, represent 9pi/2 in the form (2 × 2pi) + pi/2 [∵ 9pi/2>2pi] ∵ sine is a periodic function, sin 9pi/2 = sin pi/2. Rotate ‘r’ anticlockwise to form pi/2 or 9pi/2 angle with the positive x-axis.Notice how the sine values are positive between 0 and π, π, which correspond to the values of the sine function in quadrants I and II on the unit circle, and the sine values are negative between π π and 2 π, 2 π, which correspond to the values of the sineInverse circular functions,Principal values of sin − 1 x, c o s − 1 x, tan − 1 x. tan − 1 x + tan − 1 y = tan − 1 x + y 1 − x y, x y < 1 π + tan − 1 x + y 1 − x y, x y > 1. Evaluate the following : (a) sin [π 3 − sin − 1 (− 1 2)] (b) sin [π 2 − sin − 1 (− √ 3 2)] How do you use the fundamental trigonometric identities to determine the simplified form of the expression? "The fundamental trigonometric identities" are the basic identities: •The reciprocal identities. •The pythagorean identities. •The quotient identities. They are all shown in the following image: Answer and Explanation: 1. Become a Study.com member to unlock this answer! Create your account. View this answer. We're required to determine the exact value of sin( 13π 2) sin ( 13 π 2) First, we convert the given angle into its degree form... See full answer below.for y=sin (2X), the total steps required to finish one cycle is shown as below: total steps = total distance / distance per steps. total steps = 2pi / 2. total steps = pi. So, if he walk TWO steps at a time, the total number of step to finish one cycle is pi. Hope it …Find the Exact Value sin(pi/4) Step 1. The exact value of is . Step 2. The result can be shown in multiple forms. Exact Form: Decimal Form: ...Correct answer: Explanation: Trigonometric functions are equal to 0, 1, -1 or undefined when the angle lies on an axis, meaning that the angle is equal to 0, 90, 180 or 270 degrees (0, (pi)/2, pi or 3 (pi)/2 in radians.) Trigonometric functions are undefined when they represent fractions with denominators equal to zero. Secant is the reciprocal ...The value of sin pi/2 is 1. Sin pi/2 can also be expressed using the equivalent of the given angle(pi/2) in degrees (90°). We know, using radian to degree conversion, θ in degrees = θ in radians × (180°/pi) ⇒ pi/2 radians = pi/2 × (180°/pi) = 90° or 90 degrees ∴ sin pi/2 = sin π/2 = sin(90°) = 1 Explanation: For sin … See moreFeb 21, 2023 ... Due to this curvature, the (orange) diagonal line between (0,0) and (1,1) doesn't meet the unit circle halfway on the line but rather at the ...5pi/2 - 4pi/2 = pi/2 This means that sin(x) = sin(x + 2pi*n) for any integer n. So, we can simplify sin(5pi/2) by subtracting 2pi (or 4pi/2 to keep the same denominator) …Mathematics. Average Rate of Change. How do you ev... Question. How do you evaluate π π sin π 2 ? Solution. Step:1 General case of θ θ sin ( θ) : Let's draw the figure : We have …Explanation: The direction #theta= (3pi)/2 separates 3rd and 4th quadrants. Sine is negative in these quadrants. sin(π +θ) = sin(2π− θ) = − sinθ. sin( 3π 2) = sin(π+ π 2) = sin(2π − π 2) = −sin( π 2) = − 1. Answer link. -1 The direction theta= (3pi)/2 separates 3rd and 4th quadrants.Symbolab is the best derivative calculator, solving first derivatives, second derivatives, higher order derivatives, derivative at a point, partial derivatives, implicit derivatives, derivatives using definition, and more.sin(π/2) Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…Popular Problems. Trigonometry. Find the Exact Value sin (pi/2) sin( π 2) sin ( π 2) The exact value of sin(π 2) sin ( π 2) is 1 1. 1 1. Free math problem solver answers your …A mortal sin is the most serious type of sin in Christianity. Types of mortal sin include idolatry, adultery, murder and slander. These sins are more serious than venial sins becau...sin pi/2 = 1. sin pi/2 radians = 1. The sin of pi/2 radians is 1, the same as sin of pi/2 radians in degrees. To change pi/2 radians to degrees multiply pi/2 by 180° / π = 90°. …sin(2pi/5) Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music… π 2 π 2. To convert radians to degrees, multiply by 180 π 180 π, since a full circle is 360° 360 ° or 2π 2 π radians. ( π 2)⋅ 180° π ( π 2) ⋅ 180 ° π. Cancel the common factor of π π. Tap for more steps... 1 2 ⋅180 1 2 ⋅ 180. Cancel the common factor of 2 2. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...Trigonometry. Simplify sin ( (pi/2)+2kpi) sin(( π 2) + 2kπ) sin ( ( π 2) + 2 k π) Remove parentheses. sin( π 2 + 2kπ) sin ( π 2 + 2 k π) Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.If you’re a fan of delicious, homemade desserts but don’t have the time or patience to make traditional pies from scratch, then easy fried pies with biscuits are the perfect soluti...sin(pi/2 +x) Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…Answer and Explanation: 1. Become a Study.com member to unlock this answer! Create your account. View this answer. We're required to determine the exact value of sin( 13π 2) sin ( 13 π 2) First, we convert the given angle into its degree form... See full answer below.Explanation: The direction #theta= (3pi)/2 separates 3rd and 4th quadrants. Sine is negative in these quadrants. sin(π +θ) = sin(2π− θ) = − sinθ. sin( 3π 2) = sin(π+ π 2) = sin(2π − π 2) = −sin( π 2) = − 1. Answer link. -1 The direction theta= (3pi)/2 separates 3rd and 4th quadrants.Calculus. Evaluate the Limit limit as x approaches pi/2 of sin (x) lim x→π 2 sin(x) lim x → π 2 sin ( x) Move the limit inside the trig function because sine is continuous. sin(lim x→π 2 x) sin ( lim x → π 2 x) Evaluate the limit of x x by plugging in π 2 π 2 for x x. sin( π 2) sin ( π 2) Calculus. Evaluate sin ( (3pi)/2) sin( 3π 2) sin ( 3 π 2) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant. −sin( π 2) - sin ( π 2) The exact value of sin(π 2) sin ( π 2) is 1 1. −1⋅1 - 1 ⋅ 1. Therefore, the value of sin 180 degrees = 0. The value of sin pi can be derived from some other trigonometric angles and functions like sine and cosine functions from the trigonometry table. It is known that, 180° – 0° = 180° ———– (1) …Apr 17, 2020 ... Please like and subscribe my YouTube channel #ytstoreeducation #ytstorefamily #chapter2 #11th #class12th #onlystudy #class12thmaths ... Evaluate sin (-pi/2) sin(− π 2) sin ( - π 2) Add full rotations of 2π 2 π until the angle is greater than or equal to 0 0 and less than 2π 2 π. sin( 3π 2) sin ( 3 π 2) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth ... Dec 7, 2020 ... please like and subscribe my YouTube channel #12thmath #sin90+x #iit #jee thank you watch this video.sin(pi/16) Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…Calculus. Evaluate the Limit limit as x approaches pi/2 of sin (x) lim x→π 2 sin(x) lim x → π 2 sin ( x) Move the limit inside the trig function because sine is continuous. sin(lim x→π 2 x) sin ( lim x → π 2 x) Evaluate the limit of x x by plugging …sin (2pi) - Wolfram|Alpha. Natural Language. Math Input. Extended Keyboard. Examples. Random. Input. Result. Step-by-step solution. Conversion from radians to degrees. … Sin pi is the value of sine trigonometric function for an angle equal to pi radians. The value of sin pi is 0. How to Find Sin pi in Terms of Other Trigonometric Functions? Using trigonometry formula, the value of sin π can be given in terms of other trigonometric functions as: ± √(1-cos²(pi)) ± tan(pi)/√(1 + tan²(pi)) ± 1/√(1 ... Answer: sin (pi/2 rad) = 1. sin (pi/2 rad) is exactly: 1. Note: angle unit is set to radians. Use our sin (x) calculator to find the sine of π/2 radian (s) - sin (pi/2 rad) - or the sine of any angle in degrees and in radians.Trigonometry. Find the Value Using the Unit Circle sin (pi/2) sin( π 2) sin ( π 2) Find the value using the definition of sine. sin( π 2) = opposite hypotenuse sin ( π 2) = opposite hypotenuse. Substitute the values into the definition. …The seven deadly sins, or cardinal sins as they’re also known, are a group of vices that often give birth to other immoralities, which is why they’re classified above all others. T...1 Answer. Sorted by: 5. You want to take the Taylor series of sin(x) sin ( x) at x = π x = π. This is equivalent to taking the Taylor series of sin(x + π) sin ( x + π) at x = 0 x = 0. sin(x + π) = − sin(x) = −(∑n=0∞ (−1)nx2n+1 (2n + 1)!) = ∑n=0∞ (−1)n+1x2n+1 (2n + 1)! sin ( x + π) = − sin ( x) = − ( ∑ n = 0 ∞ ( − ...What is the value of #sin -45^@#? How do you find the trigonometric functions of values that are greater than #360^@#? How do you use the reference angles to find #sin210cos330-tan 135#?Noble Mushtak. [cos (θ)]^2+ [sin (θ)]^2=1 where θ has the same definition of 0 above. This is similar to the equation x^2+y^2=1, which is the graph of a circle with a radius of 1 centered around the origin. This is how the unit circle is graphed, which you seem to understand well.How do you apply the fundamental identities to values of #theta# and show that they are true?cos(θ) cos ( θ) Because the two sides have been shown to be equivalent, the equation is an identity. sin( π 2 − θ) = cos(θ) sin ( π 2 - θ) = cos ( θ) is an identity. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.sin (2pi) - Wolfram|Alpha. Natural Language. Math Input. Extended Keyboard. Examples. Random. Input. Result. Step-by-step solution. Conversion from radians to degrees. … Trigonometry. Find the Exact Value sin (pi/2) sin( π 2) sin ( π 2) The exact value of sin(π 2) sin ( π 2) is 1 1. 1 1. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. What is sin(pi/2-a) ? The solution to sin(pi/2-a) is cos(a) Study Tools AI Math Solver Popular Problems Study Guides Practice Cheat Sheets Calculators Graphing Calculator Geometry Calculator. Company About Symbolab Blog Help Contact Us. Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step Algebra. Equation Solver. Step 1: Enter the Equation you want to solve into the editor. The equation calculator allows you to take a simple or complex equation and solve by best method possible. Step 2: Click the blue arrow to submit and see the result! The equation solver allows you to enter your problem and solve the equation to see the result.Although the Bible does clearly show that people need to repent for all sins, there is no passage that says that all sins are equal; instead, the Bible shows some sins cause more g...\sin^{2}(\frac{π}{2}) en. Related Symbolab blog posts. Practice, practice, practice. Math can be an intimidating subject. Each new topic we learn has symbols and problems we have never seen. The unknowing... Enter a problem. Cooking Calculators. The sin of π/2 radians is 1, the same as sin of π/2 radians in degrees. To change π/2 radians to degrees multiply π/2 by 180° / π = 90°. Sin π/2 = sin 90 degrees. Our results of sinπ/2 have been rounded to five decimal places. If you want sine π/2 with higher accuracy, then use the calculator below; our tool displays ten decimal places. sin pi/4 radians = √(2)/2. The sin of pi/4 radians is √(2)/2, the same as sin of pi/4 radians in degrees. To change pi/4 radians to degrees multiply pi/4 by 180° / $\pi$ = 45°. Sin pi/4 = sin 45 degrees. Our results of sinpi/4 have been rounded to five decimal places. If you want sine pi/4 with higher accuracy, then use the calculator ...mathematica:FunctionExpand [Cos [Pi/ (2^5*3*5)]] sig=t1ycg5. period sin (2t+3/4 pi) tangent at sin (x) at x = 2 pi. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance ...Jul 13, 2016 · sin^2(pi//2)-cos(pi) = 1 - (-1) = 2 To solve this, we need to know the values of the sin and cos functions at specific angles. One of the simplest ways to look at this is using the unit circle. sin (pi/2) - Wolfram|Alpha. sin (pi/2) Natural Language. Math Input. Extended Keyboard. Examples. Random. Compute answers using Wolfram's breakthrough technology & …EN, ES, PT & more. 🏆 Practice. Improve your math skills. 😍 Step by step. In depth solution steps. ⭐️ Rating. 4.6 based on 20924 reviews. Free trigonometry calculator - calculate …Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It uses functions such as sine, cosine, and tangent to describe the ratios of the sides of a right triangle based on its angles.What is sin pi 2
Precalculus. Find the Exact Value sin (2) (pi/2) sin(2)( π 2) sin ( 2) ( π 2) Combine sin(2) sin ( 2) and π 2 π 2. sin(2)π 2 sin ( 2) π 2. Reorder factors in sin(2)π 2 sin ( 2) π 2. πsin(2) 2 π sin ( 2) 2. The result can be shown in multiple forms. Exact Form:Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ... What is the value of sinh(pi/2) ? The value of sinh(pi/2) is (e^pi-1)/(2e^{pi/2)} Study Tools AI Math Solver Popular Problems Study Guides Practice Cheat Sheets Calculators Graphing Calculator Geometry Calculator f (x) Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step. Mar 13, 2016 · Explanation: using appropriate Addition formula. ∙ sin(A± B) = sinAcosB ± cosAsinB. hence sin( π 2 − θ) = sin( π 2)cosθ − cos( π 2)sinθ. now sin( π 2) = 1 and cos( π 2) = 0. hence sin( π 2)cosθ − cos( π 2)sinθ = cosθ − 0. ⇒ sin( π 2 −θ) = cosθ. Mathematics. Average Rate of Change. How do you ev... Question. How do you evaluate π π sin π 2 ? Solution. Step:1 General case of θ θ sin ( θ) : Let's draw the figure : We have …A lot of questions will ask you the arcsin (4/9) or something for example and that would be quite difficult to memorize (near impossible). So it just depends on the question. 5) Yes, absolutely correct. arcsin (1/2) = pi/6 for example. Pi/6 …Popular Problems. Trigonometry. Find the Exact Value sin (pi/2) sin( π 2) sin ( π 2) The exact value of sin(π 2) sin ( π 2) is 1 1. 1 1. Free math problem solver answers your … sin pi/2 = 1. sin pi/2 radians = 1. The sin of pi/2 radians is 1, the same as sin of pi/2 radians in degrees. To change pi/2 radians to degrees multiply pi/2 by 180° / π = 90°. Sin pi/2 = sin 90 degrees. Our results of sinpi/2 have been rounded to five decimal places. If you want sine pi/2 with higher accuracy, then use the calculator below ... Solution. Find the value of sin ( x + π 2): As we know, sin ( A + B) = sin A cos B + sin B cos A. In the given question, A = x and B = π 2. So, sin x + π 2 = sin x · cos π 2 + sin π 2 · cos x = sin x · 0 + 1 · cos x ∵ cos π 2 = 0 and sin π 2 = 1 = cos x. Hence, sin ( x + π 2) = cos x. Suggest Corrections.Blueberry pies have been a beloved dessert for centuries, with their sweet and tart flavors perfectly complementing one another. Whether served as a delicious ending to a family di...Sin (Pi/2) = 1 and Sin (Pi)=0. But clearly 2 is not greater than 0. Contradiction.} Obtuse means Pi/2 < x < Pi So, sin (x) = b means b>0, because sin (y) > 0 if 0<y<Pi sin (2x)=2sin (x)cos (x) cos (x) < 0 because cos (Pi/2)= 0 and the derivative is negative there. Hence, sin (2x) = 2 sin (x) cos (x) = 2*b* (-K), where K is a positive …The sine calculator allows through the sin function to calculate online the sine sine of an angle in radians, you must first select the desired unit by clicking on the options button calculation module. After that, you can start your calculations. To calculate sine online of π 6 π 6, enter sin ( π 6 π 6), after calculation, the result 1 2 1 ...The graph of y=sin (x) is like a wave that forever oscillates between -1 and 1, in a shape that repeats itself every 2π units. Specifically, this means that the domain of sin (x) is all real numbers, and the range is [-1,1]. See how we find the graph of y=sin (x) using the unit-circle definition of sin (x).Calculus. Evaluate sin ( (3pi)/2) sin( 3π 2) sin ( 3 π 2) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant. −sin( π 2) - sin ( π 2) The exact value of sin(π 2) sin ( π 2) is 1 1. −1⋅1 - 1 ⋅ 1.Apr 16, 2015 · Alternatively sin (x+ π 2 )= sin x cos π 2 + cos x sin π 2. Since cos π 2 is 0 and sin π 2 is 1, it would be equal to cosx. cos x With pi/2 add to any angle measure, sin changes to cos and vice- versa. Hence It would change to cosine and since the angle measure falls in the second quadrant, hence sin (x+pi/2) would be positive. For the sin and cos functions, add 2kpi Exp: cos x = 1/2 x = pi/3 + 2kpi For the tan and cot functions, add pi. Exp: tan x = sqrt3 x = pi/6 + kpiSin (Pi/2) = 1 and Sin (Pi)=0. But clearly 2 is not greater than 0. Contradiction.} Obtuse means Pi/2 < x < Pi So, sin (x) = b means b>0, because sin (y) > 0 if 0<y<Pi sin (2x)=2sin (x)cos (x) cos (x) < 0 because cos (Pi/2)= 0 and the derivative is negative there. Hence, sin (2x) = 2 sin (x) cos (x) = 2*b* (-K), where K is a positive …Note that sin^2(θ) and [sin(θ)]^2 are equivalent expressions. Also, sin(θ^2) and sin(θ)^2 are equivalent expressions. 2 comments Comment on John Reece's post “Because when you put an e ... were -pi/2 is the negative y axis rather than the positive one. So this means -3pi/2 is the positive y anxis and -pi is the negative x axis. the space ...Mathematics is a field that often presents us with interesting symbols and notations. One such symbol that holds immense significance in the world of math is the pi sign (π). The o... How do you use the fundamental trigonometric identities to determine the simplified form of the expression? "The fundamental trigonometric identities" are the basic identities: •The reciprocal identities. •The pythagorean identities. •The quotient identities. They are all shown in the following image: The sine calculator allows through the sin function to calculate online the sine sine of an angle in radians, you must first select the desired unit by clicking on the options button calculation module. After that, you can start your calculations. To calculate sine online of π 6 π 6, enter sin ( π 6 π 6), after calculation, the result 1 2 1 ...Trigonometry. Find the Exact Value sin ( (6pi)/2) sin( 6π 2) sin ( 6 π 2) Cancel the common factor of 6 6 and 2 2. Tap for more steps... sin(3π) sin ( 3 π) Subtract full rotations of 2π 2 π until the angle is greater than or equal to 0 0 and less than 2π 2 π. sin(π) sin ( π)Jan 11, 2023 ... The maximum difference between both sin(pi/2-A) - cos(A) and cos(pi/2-A) - sin(A) is 1.1102e-16 , which is very small. This is just basic ...EN, ES, PT & more. 🏆 Practice. Improve your math skills. 😍 Step by step. In depth solution steps. ⭐️ Rating. 4.6 based on 20924 reviews. Free trigonometry calculator - calculate …Symbolab is the best derivative calculator, solving first derivatives, second derivatives, higher order derivatives, derivative at a point, partial derivatives, implicit derivatives, derivatives using definition, and more. What is the value of sin^3 (pi/2) ? The value of sin^3 (pi/2) is 1. Detailed step by step solution for sin^3 (pi/2) The right hand side should be - cos x Expand sin(x-pi/2) using sin(a-b)=sin a cos b-cos a sin b. Prove sin (x-pi/2 )=-cos x. Using sin(a-b)=sin a cos b-cos a sin b ...The sine of an angle is the length of the opposite side divided by the length of the hypotenuse with the assumption that the angle is acute (. 0 ° < α < 90 °. \small0\degree < \alpha < 90\degree 0° < α < 90° or. 0 < α < π / 2. \small0 < \alpha < \pi/2 0 < α < π/2 ). The other sine definition is based on the unit circle.Trigonometry. Statistics. Physics. Chemistry. Finance. Economics. Conversions. Go. Popular Examples. 67\sin (45^ {\circ\:}) -2\sin (30^ {\circ\:}) \cos (-\sqrt {3}) \sin (90^ {\circ\:})+\cos …Usually, the chosen domain is -π/2 ≤ y ≤ π/2. This means that the range of the inverse function will be equal to the range of a principal function; thus, the range of the arcsin function is [−π/2,π/2], and the …2 ⋅ sin( π 12) ⋅ cos( π 12) = sin(2 ⋅ π 12) = sin( π 6) = 1 2. Substitute for simplicity: x = cos( π 12) and y = sin( π 12) Both are positive (since an angle π 12 is in the first quadrant). Also x > y since, as angle ϕ increases from 0 to π 12, cos(ϕ) decreases from 1 and sin(ϕ) increases from 0.Feb 6, 2013 ... Show the trig identity sin( pi/2 + theta) = cos theta · Comments25. thumbnail-image.Mar 13, 2016 · Explanation: using appropriate Addition formula. ∙ sin(A± B) = sinAcosB ± cosAsinB. hence sin( π 2 − θ) = sin( π 2)cosθ − cos( π 2)sinθ. now sin( π 2) = 1 and cos( π 2) = 0. hence sin( π 2)cosθ − cos( π 2)sinθ = cosθ − 0. ⇒ sin( π 2 −θ) = cosθ. How do you know if #sin 30 = sin 150#? How do you show that #(costheta)(sectheta) = 1# if #theta=pi/4#? See all questions in Trigonometric Functions of Any AngleIt is because pi value cannot be represented in floating-point number. One approach to go around it is to use symbolic toolbox: sin(sym(pi)) returns 0. Note ... Sin π /2 can also be expressed using the equivalent of the given angle (π /2) in degrees (90°). We know, using radian to degree conversion, θ in degrees = θ in radians × (180 °/ π) π /2 radians= π /2 × (180 °/ π) = 90° or 90 degrees Therefore sin π /2 = sin (90 °) = 1. Methods to Find Value of Sin pi/2 The Value of sin π /2 2 ⋅ sin( π 12) ⋅ cos( π 12) = sin(2 ⋅ π 12) = sin( π 6) = 1 2. Substitute for simplicity: x = cos( π 12) and y = sin( π 12) Both are positive (since an angle π 12 is in the first quadrant). Also x > y since, as angle ϕ increases from 0 to π 12, cos(ϕ) decreases from 1 and sin(ϕ) increases from 0.sin(2pi/3) Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…Jul 13, 2016 · sin^2(pi//2)-cos(pi) = 1 - (-1) = 2 To solve this, we need to know the values of the sin and cos functions at specific angles. One of the simplest ways to look at this is using the unit circle. Nov 14, 2022 ... Topic: Find the value of sinpi. #primestudy #trigonometry.Correct answer: Explanation: Trigonometric functions are equal to 0, 1, -1 or undefined when the angle lies on an axis, meaning that the angle is equal to 0, 90, 180 or 270 degrees (0, (pi)/2, pi or 3 (pi)/2 in radians.) Trigonometric functions are undefined when they represent fractions with denominators equal to zero. Secant is the reciprocal ...Trigonometry. Find the Exact Value cos (pi/2) cos ( π 2) cos ( π 2) The exact value of cos(π 2) cos ( π 2) is 0 0. 0 0. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Page 2. USEFUL TRIGONOMETRIC IDENTITIES. Unit circle properties cos(π - x) = -cos(x) sin(π - x) = sin(x) tan(π - x) = -tan(x) cos(π + x) = -cos(x) sin(π + x) = ...The value of sin pi/12 in decimal is 0.258819045. . .. Sin pi/12 can also be expressed using the equivalent of the given angle (pi/12) in degrees (15°). ∴ sin pi/12 = sin π/12 = sin (15°) = (√6 - √2)/4 or 0.2588190. . . For sin pi/12, the angle pi/12 lies between 0 and pi/2 (First Quadrant ). Since sine function is positive in the ...Inverse circular functions,Principal values of sin − 1 x, c o s − 1 x, tan − 1 x. tan − 1 x + tan − 1 y = tan − 1 x + y 1 − x y, x y < 1 π + tan − 1 x + y 1 − x y, x y > 1. Evaluate the following : (a) sin [π 3 − sin − 1 (− 1 2)] (b) sin [π 2 − sin − 1 (− √ 3 2)] 1. the change between sin and cos is based on the angle (x + θ) (in this case, if the number "x" is the 90 degree's odd multiple, such as 270 degree that is 3 times of 90 degree, the sin will be changed into cos while the cos will be changed into sin. For example: sin (θ) = cos (270 + θ) because "270 = 90 x 3, 3 is odd". A more general way of writing the equation for the motion would be: x(t)= Asin(ωt+ϕ) where ϕ is the phase constant. You find the value of ϕ simply by looking to see what ... If sin(π cosθ) = cos(π sinθ), then show …. cos(πsinθ) = sin(πcosθ)= cos(2π −πcosθ) πsinθ = 2mπ±(2π −πcosθ) where m is any integer sinθ = 2m± ...The right hand side should be - cos x Expand sin(x-pi/2) using sin(a-b)=sin a cos b-cos a sin b. Prove sin (x-pi/2 )=-cos x. Using sin(a-b)=sin a cos b-cos a sin b ...sin( 89π) = − 22 − 2 Explanation: First reduce the angle to the first quadrant: sin( 89π) = sin(π+ 8π) ... How to find exact value of sin(24π) ? sin(24π) = 21 2− 2+ 3 Explanation: As 24π = 24180∘ = (721)∘ ... The answer to this question depends on exactly what you mean by expressed in radicals.Hence. sinx = 1 2 ⇒ x1 = π(2n + 1 6) or x2 = π(2n + 5 6) where n is an integer. But hence x belongs to [0,2π) the acceptable solutions are. x1 = π 6 and x2 = 5 ⋅ π 6. Answer link. Hence sinx=1/2=>x_1=pi (2 n+1/6) or x_2=pi (2 n+5/6) where n is an integer But hence x belongs to [0,2pi) the acceptable solutions are x_1=pi/6 and x_2=5*pi/6.Explanation: The answer given prior is a perfectly valid explanation, but here is another: We must consider our knowledge of transformations: f (x −α) is a translation of f (x) by (α,0) So hence: sin(x − π 2) is just sinx translated by ( π 2,0) We see that sinx: graph {sinx [-4.006, 4.006, -2.003, 2.003]} ∴ sin(x − π 2): graph {sin .... The wine outlet