Question

Prove:
(1 - sintheta + costheta)^2 =
2(1 + costheta)(1-Sintheta)​

Answer 1

Answer:

LHS=(1−sinθ+cosθ)2

LHS=1+sin2θ+cos2θ−2sinθ+2cosθ−2sinθcosθ

LHS=2−2sinθ+2cosθ−2sinθcosθ

LHS=2(1−sinθ)+2cosθ(1−sinθ)

LHS=2(1−sinθ)(1+cosθ)=RHS