Question

if x=asin theta and y=acos then find value of x^2+y^2​

Answer 1

a sin square + a cos square theta

= 1

Answer 2

Given,

x= asin∅ and y=acos∅

To find:x²+y²

Now,

x² = (asin∅)² =a²sin²∅.......................[i]

y² = (acos∅)² = a²cos²∅......................[ii]

Adding [i] and [ii],

x² + y² = a²sin²∅+a²cos²∅

= a²(sin²∅+cos²∅)

»x²+y²=a². [Since,sin²∅+cos²∅=1]