2) Complete the proof of the sine sum identity in the space below. C sin ß = cos(90° – B) sin(90° – B) %3D ***proved previously, along with cos B %3D Letting B = A + B sin(A + B) cos[90° – (A + B)] cos[(90° – A) – B] %3D = cos(90° – A)cos B + sin(90° – A)sin B Q.E g8-B

Q: 1 Evaluate | -1) – 1) sinx(2cosx -

A:

Q: Find the product. Leave the result in trigonometric form. (Let 0 < 0 < 360°.) (cos(120°) + i…

A: use the value of trigonometric angles.

Q: 3 Prove the identity: sin30 = sin® –sin30 using De Moivre's theorem.

A: To prove the given identity ,we have to use De Moivre's identity.

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 following identities: sin 6+ sec 0) +(cos 0+ sece) = (1+sec0 cosece)

A: We can easily prove this given identity shown below

Q: Cos I 12. secx + tan x 1. sin x

A:

Q: -2n 1 9. Evaluate : de 6+ sine

A: Given, ∫02π16+sinθdθ=2∫0π16+sinθdθ Let us take…

Q: 10. Prove that 7/2 sin 0 cos (cos a cosec 0) do -(1-cos a). 2 ||

A:

Q: Part 3 of 4 COS X d —CSC X + С dx To check for the result, prove that 1 - cos?x

A:

Q: Find cos 2a if 4 sin a - COS a = 3. 2 sin a + COS a

A: −53​Explanation:Click shift solve then equals.

Q: Evaluate: lime 1-sin 0+cos 0 sin 20-cos 0

A: The objective is to evaluate the limit.

Q: iven that x = sin-¹-3). what is the exact value of cos(x) A 10 3 √10 B 3 2√2 3 Ⓒ ²√² D

A: Given query is to find the value of cos x.

Q: Verify the identity: sin(α + β) sin(α - β) = cos2 β - cos2 α

A:

Q: Evaluate [ (cos² 0 + 2 csc² 0 + sin² 0) do .

A:

Q: a) Describe a strategy that could be used to verify the identity (sin z+ cos z)² =1+ sin (2z). %3D…

A: a) strategy used to verify the identitysinx+cosx2=1+sin2xb) Algebriacally prove the identity…

Q: Find the value of T sin (77 14 sin 3π 14 sin 5T 14

A: We have to solve given Questions.