Question

If x = a sin theta + b cos theta
y = a cos theta - b sin theta

Prove that x²+ y² = a² + b²​

Answer 1

$\huge \bf { \color{navy}AnSwEr: }$

x=asinθ+bcosθ

y=acosθ−bsinθ

Now,

x² + y² =a² +b² +2ab sin θ cos θ − 2ab sin θ cos θ

x² +y² =a² +b²

hence,proved.

Answer 2

Step-by-step explanation:

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