Question

if x=asinθ and y=acosθ then find x^2+y^2

Answer 1

Hey folk !!

Here's the answer you are looking for

x = asinθ

y = acosθ

So, x² + y² = (asinθ)² + (acosθ)²

= a²sin²θ + a²cos²θ

= a² (sin²θ + cos²θ)

= a² (1) [because sin²θ + cos²θ = 1]

= a²

Therefore, x² + y² = a²


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Answer 2

HI !

x = asinθ

y = acosθ 

x² + y²  = (asinθ )² + (a cosθ )²
             = a²sin²θ  + a²cos²θ 
             = a²(sin²θ +cos²θ )
             = a²

{sin²θ +cos²θ = 1}

hence,
x² + y² = a²