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:

A:

Q: Prove the following identity: cos³x-sin³x cosx-sinx = 1 + sinx coSX

A: We know,      a3 - b3 = (a - b)(a2 + b2 + ab) Also,     sin2x + cos2x = 1

Q: prove the Cos0=(A.B/AB).

A:

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: 1 1. Use basic identities to simplify the expression secx cos x + cos x secx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Ptz 1. sin x secx = tanx 2. cos² x-sin2x-1-2 sin²x Pt₂

A:

Q: 1. Prove the following identity: cos³x-sin³x = 1+ sinx cosSX cosx-sinx

A:

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

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

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: Verify the identity: csc x cos2 x + sin x = csc x.

A: the given identity is: cscx cos2x+sinx=cscx we have to verify the identity.

Q: Verify the identity: csc x - csc x cos2 x = sin x

A: We know that, cosecx=1sinx            ⋯⋯1sin2x+cos2x=1sin2x=1-cos2x     ⋯⋯2 We have,…