Question

Prove that (1+sin theta)^2 +(1-cos theta)^2 =3+2 (sin theta - cos theta)
Whoever answers this right I will surely mark it as a brainiest answer.

Answer 1

heya,

i am taking ∅ = x,
So,

(1 + sinx)² + (1 - cosx)²

(1 + sin²x + 2sinx) + (1 + cos²x - 2cosx)

2 + (sin²x + cos²x) + (2sinx - 2cosx)

2 + 1 + 2(sinx - cosx)

3 + 2(sinx - cosx)