Question

Prove that x^2+y^2=2 if , x=sin theta + cos theta , y = sin theta - cos theta​

Answer 1

Step-by-step explanation:

x²+y²=2

(sin theta+ cos theta)²+(sin theta-cos theta)²

(sin²theta+cos²theta+2sinthetacostheta)+(sin²theta+cos²theta-2sintheta cos theta)

sin²theta +cos ²theta=1

1+1=2