Question

if x=a costheta and y=a sintheta then x²y² is equal to​

Answer 1

Step-by-step explanation:

x=a cos theta and y equal to a sin theta.

x²y²=a²cos²theta×à²sin²theta

=a⁴cos²theta sin²theta

Answer 2

Given :- x = a cos∅ and y = a sin∅

∴ x²y² = (acos∅)² × (asin∅)²

          = a²cos²∅ × a²sin²∅

          = a² ( cos²∅  × sin²∅ )

          = a² ( 1 × 1)           {∵ Maximum value of sin²∅ and cos²∅ = 1}

          = a²

So, x²y² = a²

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