Question

Prove (1-sin theta)=2(1+cos theta)(1-sin theta)​

Answer 1

Answer:

2(1+b)(a)=2a+2ab=2a (a+b)

LHS =RHS

Hope it helps you

Step-by-step explanation:

To prove: (1- sinθ+ cos θ)²=2(1+cosθ)(1-sinθ)

proof:

let (1- sin θ )= a

cosθ =b

LHS

(a+b)²=a²+b²+2ab

= 1+sin²θ-2sinθ+cos²θ+2ab

=1+1-2sinθ+2ab

=2(1-sinθ+ab)

=2(a+ab)

=2a(a+b)

RHS

2(1+b)(a)=2a+2ab=2a (a+b)

LHS =RHS