Verify the identity. (Simplify at each step.) sin1/2 x cos x - sin5/2 x cos x = cos³ x/ sin x sin /2 x cos x - sin5/2 x cos x (V ainx)cos (1 sin x )cos X = cos3 x/ sin x

Q: Find the identical expression for the following. cos x 1+ sin x 1+sin x cos x 2sec x O 2csc x 2cscx…

A: To solve the following trigonometric identity.

Q: Verify the identity. 6 cos2(x) – 3 = 3 – 6 sin?(x) - (| ([ 6 cos?(x) – 3 = 6(1 3 - 3 = 6 – = 3 - 6…

A: Given: 6cos2x-3=3-6sin2x We have to verify the given identity. Formula used: sin2x+cos2x=1

Q: Verify the identity. sin x + cos³ x =1 - sin x cos x sin x + cos x Factor the numerator, and use a…

A: According to the given information it is required to verify the identity:…

Q: 4 sin? x cos xdx

A: Explanation of the solution is given below..

Q: (÷++) + co« (5 - ). cos 3 x ) is equivalent to O cos 2x cos x O sin x cos x

A:

Q: Rewrite sin (x + in terms of sin x and cos x. Enclose arguments of functions in parentheses. For…

A:

Q: Rewrite cos(x−π6)cos(x-π6) in terms of sin(x)sin(x) and cos(x)cos(x)

A: This is trignometry problem

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A: The trigonometric addition formula is sina+b=sinacosb+cosasinb. The given condition states that…

Q: Simplify the given expression. sin(4x) cos(6x) − sin(6x) cos(4x)

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Q: sin? 2t and x = cos² t

A:

Q: Complete the identity. (sin x + cos x) cos x)- 1+2 sin x cO X O A. 1- sin x O B. 0 OC. sec x O D. 1

A: use (a+b)2 = a2 + b2 + 2ab and sin2 x + cos2 x = 1

Q: Solve a. sin x : 2 b. 2-8 cos? x = 0

A:

Q: Simplify the following identities: 14: 1 sec'x 15.: COSX COSX 1 - sinx 2. sin'x tan'x 1+ sinx

A: Some trigonometric identities are,

Q: Prove the identity (sin x + cos x)? – sin(2x) =1

A:

Q: Verify the identity. (Simplify at each step.) 1 + sin 0 1- sin e 1 + sin 0 |cos e| 1+ sin e 1- sin 8…

A: We have to verify the given identity.

Q: -- cos( sin-!x) + C 1-x² A True B) False

A: SOLUTION-

Q: x) = 4•cos(x+7)

A: Use the form of a cos(bx-c)+d to find the (a)=amplitude ,(2πb)= period , (-cb)=phase shift,…

Q: Evaluate: * cos² 2. * x cos? x dx sin

A: Given: ∫cos2xsin4xdx

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A: For a quadratic equation of the form: ax2+bx+c=0, the roots are calculated using the formula: x1,…

Q: Evaluate sin2(x) cos*(x) xdx 32 C. 32 A. 32 в. D. 32 O A В

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Q: Rewrite  − 6 sin ( x ) − 3 cos ( x ) as  A sin ( x + ϕ ) A= ϕ=

A: see below the answer and calculation

Q: Verify the identity, show all steps. cos z+1 1+ sec x COS T ||

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Q: Which one of the following is not equal to cos 4x for all real values of x?«- A sin? 2x – cos? 2x+ В…

A: Evaluating each of the options given

Q: Evaluate cos a sin'r dr. COS 2 3.

A:

Q: QProve that: (Cos 38 Cos3e -3 Cos e Sin e)

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Q: Verify the identity. cos 2x cos² r - sin? x

A: We have to solve the trigonometry problem

Q: Verify the identity. (Simplify at each step.) (1 + cos a)(1 – cos a) = sin² a %3D (1 + cos a)(1 -…

A:

Q: simplfy the given expression  sin(5x) cos(8x) − sin(8x) cos(5x)

A:

Q: rewrite cos(x-(11pi/6) in terms of cos(x)and sin(x)

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Q: Simplify (cos x- sin x)(cos x+ sin x). sin x cos x O 2 cos x-1 2 cos x+1

A: Given: cosx-sinxcosx+sinx

Q: Q5. Evaluate the expressions: x² + 4 1. sin sec 2. cos ( sin

A: Using Pythagoras theorem we calculate the given expression.

Q: n/4 1+sin x 7. So cos (x)

A: We will solve the following.

Q: Simplify the given expression. sin(3x) cos(5x) − sin(5x) cos(3x)

A: To simplify sin(3x) cos(5x) − sin(5x) cos(3x)

Q: Evaluate sin2(x) cos*(x) xdx A. 32 32 C. в. D. - 32 O D

A: We have to find solution of given integration of trigonometric term having even power on sine and…

Q: Rewrite cos(x+11π6)cos(x+11π6) in terms of sin(x)sin(x) and cos(x)cos(x)

A: Given expression is cosx+11π6

Q: Rewrite cos ( x in terms of sin(æ) and cos(x). 4 -

A: we know that cos(a-b)=cosa cosb+sina sinb

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A: we know that cos(x-y)=cos(x)cos(y)+sin(x)sin(y)

Q: Rewrite 1 sin(x) - 2 cos(x) as A sin(x + ¢) A= $ = Note: ø should be in the interval – n < ¢ < T

A: If asinx + bcosx has to be rewritten as Asin(x+ϕ) then A=a2+b2   and tanϕ=ba⇒ϕ=tan-1(ba)

Q: Which one of the following is not equal to cos 4x for all real values of x? A sin? 2x – cos? 2x B 2…

A: Follow 2nd step.

Q: Rewrite sin(x+7*Pi/6) in terms of sin x and cos x

A: We use  Sin(A+B) = sin(A) cos(B)+cos(A) sin(B)

Q: Simplify the expression cos^2⁡x/1−cos^2⁡x A sin^2⁡x B cot^2⁡x C cos^2⁡x D tan^2⁡x

A:

Q: 2 sin? x- cos x – 1= 0

A: Given : 2sin2x - cosx - 1 = 0

Q: 5. Simplify the expression cos" a–1 sin a-1 sec? a O - sec? æ O tan? x O - tan? z

A:

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

A:

Q: a) Simplify cos "+ sin (3x) in terms of x . 2 [Hint: cos(A B)= cos Acos B sin A sin B1

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Rewrite cos x in terms of sin() and cos(x) 4

A:

Q: Rewrite cos(x−3π/4)in terms of sin(x) and cos(x).

A: According to trignometry identity Cos(a-b) = Cosa Cosb +Sina SinbCos(π-θ) = - CosθSin(π-θ) = Sin θ