Verify the following identity: 2. sin y - 1 1 sin y -1 sin y

Q: VERIFY THE IDENTITY : sin (2A) cos (2 A) = sec (0) %3D sin (e) Cos (e)

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Q: Evaluate COS T sin T dr.

A: To integrate

Q: Provide the following identities: sin´0 + 2sin0 + 1 1. 1+ sine %3D 1 – sine cos e 2

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Q: 4. Explain the steps in verifying that the following equation is an identity. sec sin a sin r cos a…

A: Given equation: secxsinx-sinxcosx=cotx

Q: 6. 2/10 2.

A: Solved below...

Q: Verify the identity: cos A sin' A 1 %3D 1 – cos A -

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Q: (a) cos(a + B) (b) sin(B al =

A: We will find the  required value

Q: 41. | sin &r cos 5x dr

A: This integral can be done by using the trigonometric formula In the given question a=8x and b=5x…

Q: Verify that the following equation is an identity. cos 2x + cos 2y = 2 cos x + 2 sin y cos x- sin y

A: We use the following identities cos(2x)=2cos2x-1sin(2x) =1-2sin2x(a2-b2)=(a+b)(a-b)

Q: If x = 4 sin 0, then J csc2ede = %3D

A: Here, ⇒x=4sinθ⇒sinθ=x4 By using Pythagoras theorem, We will have remaining side of the triangle…

Q: If x= cos 50 and y = sin 50 , then dx 18 %3D a. - cot 50 b. - 5 cot 50 C. 5 tan 50 d. -5 tan 56

A: Differentiate both equations x & y separately and take their ratio.

Q: So sin' z cos²z dr csc? z

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Q: Simplify the expression V4 x2 as much as possible after substituting 2 sin(0) for x. (Assume 0° < 0…

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Q: Verify the following identities: 1. cot(x) + tan(x) = sec (x) · csc (x) CO %3D

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Q: Verify that the equation is an identity. = 2 cot(x) csc(x) 1+ sec(x) 1- sec(z) %3D

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Q: 2. If tan 0= x2, which of the following is correct? Defend your answer. a. cos e = 1/V(1+x^4) b. sin…

A: As per the guidelines I can solve only one question

Q: Use the following conditions to find the exact value of sin 2α.

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Q: c) Verify the identity sin 0 1+ cos e 2 csc 0 1+ cos e sin 0

A: We take the RHS and simplify it and verify if it is equal to the LHS.

Q: Evaluate sin r e de. cos

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Q: d dz : (sin(-æ)) = (sin æ). %3D Select one: O a. False. O b. True.

A: The mathematical statement is given by ddxsin-x = ddxsinx

Q: If z = 1+2j, Determine sin z

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Q: Verify that the equation is an identity. = 2 tan a sec r 1 sin r 1+ sin a

A: We add the left side using LCD

Q: verify the following trignometric identities 1 + sin2(x) = (sinx + cosx)^2

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Q: Evaluate va 3 cos a sin x dx. + C

A: To find: The value of integral ∫cosxsin3xdx. Formula used: The trigonometric relation is…

Q: Verify the following identity. -2 tan e sin 20 = 2. 1+ tan 0

A: Here I am attaching image so that you understand each and every step.

Q: Show that sin (A + B) + sin (A – B) = 2 sin A cos B. -

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: for 0, where 0<0< 2n sin 0 = cos0 %3D

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Q: b. In cot(x)- In | tan(x)| = 2 1n| cot(x)|

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Q: expand the formula for sin(A+B)

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Q: Apply the formula for cos (A - B) to the identity sin 0 = e )to obtain the addition formula for sin…

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Q: Solve the following for 0, in radians, where 0 <0 < 2n. 4 sin (0) – 7 sin(0) – 4 = 0

A: We use the quadratic formula to find θ

Q: Verify that the equation is an identity. 1 1 1- sin x 1+ sin x COS

A: We need to verify the identity:11-sinx+11+sinx=2cos2x

Q: If cos 0 = and tan 0 >0, then sin 0 13 %3D А. 5 12 12 В. 13 С. 12 13 D. 12

A: Given,cos θ=-513tan  θ&gt; 0

Q: sin x cSC X 0° 30° 2 V2 45° 2 V3 60° 90° 1

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Q: Given that sin' (x) and cos ( x), show that sin(a+B) = 1

A: Given that sin^-1 (x) and cos^-1(x) We have to prove that sin ( alpha + beta) = 1

Q: Use a counter-example to show that the following equation is NOT an identity. sin(x + y) = sin x +…

A: Trigonometry function 3π/2=270° π=180° π/2=90°

Q: Let sin(0) for 0 € 5 [0, ). Find the following. A. (5 pts)sin 2 B. (5 pts)cos(20)

A: Here is the solutions n

Q: 1-Show that a + B a sina – sinß = 2cos(,")sin(,"P) 2

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Q: Verify the following identities: a. sin 3x = 3 sin x-4 sin x b. 1+ cos 10x = 2 cos 5x %3D

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Q: Find (a) sin 2' (b) cos , and (c) tan 2 - 2 13 csc 0 = and 90° <0 < 180° %3D 12

A: cscθ=1312 and 90°&lt;θ&lt;180°find,a) sinθ2b) cosθ2c) tanθ2

Q: d) Verify the following identity cos 0 + sin e = 2secs e 1+ sin 0 cos 0

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Q: Given cos x sin x < 0; tan y = sec y < 0, find sin(x+y)

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Q: 2. If sin a =,0<a< 3. 2V5 ,where <B < 2n 3 . cos ß = Determine the value of a. sin(a + B)%3D b.…

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Q: If r(0) = tan(sin 0), then r'(0) is:

A: We have given  rθ=tansinθ r'θ=drθdθ r'θ=ddθ(tan(sinθ)) r'θ=sec2(sinθ) ddθsinθ r'θ=sec2(sinθ) cosθ…

Q: (b) /(cos æ)* sin a da

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