Question

Prove that 1-2sin theta cos theta the whole square = sin theta cos theta

Answer 1

Answer:

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Step-by-step explanation:

ANSWER

LHS=(1−sinθ+cosθ)

2

LHS=1+sin

2

θ+cos

2

θ−2sinθ+2cosθ−2sinθcosθ

LHS=2−2sinθ+2cosθ−2sinθcosθ

LHS=2(1−sinθ)+2cosθ(1−sinθ)

LHS=2(1−sinθ)(1+cosθ)=RHS