Prove that the following equation is an identity. 2 2 (3+ sinx) + cos x = 10 + 6 sinx

Q: COS (+3 O cos x Ocos 2x O sin a Ocos z +x) + cos (-) is equivalent to:

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Q: 3. Which expression is equal to 02 O O O O 1 -1 -2 sinx-cos X sin² x-cos²x using identities?

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Q: Find the exact value of each expression. 1) cos-0 V3 3) cos- 5) sin- -1 7) cos-1 1 9) sin- 1 11) cos

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Q: Prove the identity. sin 2x = tanx 1+cos 2x

A: Explanation of the solution is given below....

Q: 1+sin x 4 15. Evaluate o cos2 x

A: Integral of sec^2x is tanx and secxtanx is secx

Q: Find an alternative form in terms of x for each of cos(sin- 1 x) and tan(sin- 1 x).

A: Let us make a triangle with opposite = x and hypotenuse=1 , because sin theta= opposite/hypotenuse…

Q: sin e cos (cos a cosec 0) de (1-cos a). 2 ||

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Q: 3下 2 cos x 1-Sin x

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Q: Cos 0+1 C3c 0+cot 0 Cos CSC

A: Explanation of the solution is given below...

Q: Simplify sin2 θ + tan2 θ + cos2 θ. Using fundamental identities.

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Q: 2 2 cos 0 d0 V1 – sin 0

A: Given:        ∫0π2cosθ1-sinθdθ substitute u=1-sinθ→dudθ=-cosθ→dθ=-1cosθdθ      =∫10-1udu…

Q: cos e de sin² 0 + 4 sin 0-5

A: To evaluate the given integral.∫cos θ dθsin2 θ+4 sin θ-5

Q: Use an identity to solve the equation cos 2x = cos x on the interval [0, 2π).

A: Given:cos2x=cosx on the interval [0,2π)Formula:cos2x=cos2x-sin2xsin2x=1-cos2x

Q: Use an identity to solve the equation cos 2x = sin x on the interval [0, 2π).

A: Given:cos2x=sinx  on [0,2π)

Q: verify the identity seco+1 2 COS 2 - 2 sec 0

A: Verify the identity: cos2θ2=secθ+12secθ

Q: 2 sin (45)+ 4 cos A 3

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Q: Show sin 3A = 3 sin A cos²A - sin A.

A: Explanation: Given that: sin3A=3sinAcos2A-sinA Concept: sin3A=3sinA-4sin3A sin2A+cos2A=1

Q: sin z sin- is equal to 2

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Q: a) Evaluate the following: 1 - 2 - L {sin3t cos3t} , 3 - I {sinht sint}

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Q: Which of the following is an equivalent expression to sin 8-(sin )(cos²0)?

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Q: rewrite cos(x+4pi/3) in terms of sin(x) and cos(x)

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