Question

(cos-sin)^2+(cos+sin)^2=1

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Your question needs a little correction, ie, RHS = 2 and not 1.

LHS

= (cosθ - sinθ)² + (cosθ + sinθ)²

= cos²θ + sin²θ - 2cosθsinθ + cos²θ + sin²θ + 2cosθsinθ

We know that sin²θ + cos²θ = 1

So, LHS

= 1 + 1 + 0

= 2

= RHS

Hence, proved.