7. Simplify: a. cos (2 cos 1) b. sin (cos1) 1 2,

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A: Given:

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A:

Q: Find the exact value of cos2 15° - sin2 15°.

A: We have to find the exact value of cos2 15°-sin2 15°Formula used :-Cos 2θ= cos2 θ-sin2θ -1

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A:

Q: Verify that if y = ƒ(θ2 sin θ, then y'(θ) = ƒ'(θ) sin θ + ƒ(θ) cos θ.

A: We use the product rule

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Q: 1- Determine. 4. Cos 'x sinX dx

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A:

Q: If sin A = with A in QII, find Cos 9 cos Cos COS Cos Cos 스2

A: cos2A +sin2A =1 cos(2A)=2 cos2A -1

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A: We need to verify the identity.

Q: Find, if y=3cose+cos³0 do, and x = sin³0

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Q: 2 | sin' O cos' OdO O cos

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A:

Q: O do 5 sin cos de Sin ³0 + 3sing-4

A: Given that ∫5 sin θ cos θsin2θ + 3 sin θ-4dθ We can solve this by using substitution method. Needed…

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A:

Q: Find sin - and cos 2' given that cos 0 and 0<0 < 3

A: Please refer the attached image for complete solution. THANK YOU.

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A:

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

A:

Q: Show that sin² 0 cos² 0 8 1 cos (40). 8

A: To show that: sin2θcos2θ=18-18cos(4θ) Solution: We know: 2sinxcosx=sin(2x)    ..(1)cos(2x)=1-2sin2x…

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A:

Q: 3 3. Find the value of cos(2x) given that sin x = -and x is in QII.

A:

Q: 5T then 4 If 0 = - cos(0) = sin(0) = Cive evact values No do imale

A:

Q: 8. Evaluate sin (x) cos(r)dr using an appropriate substitution.

A: here  we use the formula  ∫(xn)dx=xn+1n+1+C     according to our guidelines we can answer only…

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A:

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Q: find the exact value of the expressoion:   cos[sin-1(1/2)]

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A: Trigonometric

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Q: cos? y 1- sin y

A: sin2x + cos2x = 1

Q: ( esch(3 tan z) + sin². 1. cos? r

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Q: 25n B- If cos-1 (cos) = y , Find value of y?

A: B. cos-1cos25π6=y =cos-1cos24+1π6=cos-1cos24π6+π6=cos-1cos4π+π6 cos4π+θ=cosθ =cos-1cosπ6=π6

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Q: If sin A = 65 with 180° < AS 270°, find cos 2A and cos 65 Cos 2A = COS 2

A: To find the value of the following,

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Q: 14. An expression that is equivalent to sin 2x is 1- cos 2r tan r

A:

Q: 12. sin 2t – tan t = tant cos 2t - HINT: You will use a reciprocal identity.

A: use the formula

Q: Show that sin x – cos x< V2 V2 -

A: Take RHS first and work on that:

Q: If cos (2x - 1)° = sin(3x + 6)°, then the value of x is

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Q: To evaluate sin42x cos 2x dx , the identities to be used is/are: sin4x, 1+ cos4x &- 2 (А) (B) cos?2x…

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Q: 25n - If cos-1 '(cos = y , Find value of y?

A: For a∈ℝ cos-1(cos a)=a                 (1) Given equation is: cos-1cos25π6=y           (2) Compare…

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Q: 37 in terms of sin(x) and cos(x). Rewrite cos 4

A:

Q: 33. Use addition formulas and the values of sin 0 and cos 0 for 0 = to compute sin 12 and cos…

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A:

Q: Write 4 coS x sin x in the form R cos(x – a) with -T < a < T. Round to three decimal places.

A: Consider the given function.

Q: To evaluate sin 2x cos 2x dx , the identities to be used is/are: sin4x , 1+ cos4x A 2 2 ® cos?2x=1-…

A: To find The identities to be used.