Question

x=r cos a, y=r sin a then find x^2+y^2

Answer 1

Answer :

Given,

x = r cosa
y = r sina

Now,

x² + y²

= (r cosa)² + (r sina)²

= r² cos²a + r² sin²a

= r² (cos²a + sin²a)

= r², since cos²a + sin²a = 1

So, we have found an equation

x² + y² = r²,

which represents a circle whose centre is at (0, 0) and radius is r units.

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