Question

Eliminate '$\theta$' from the equations x = a sin$\theta$ and y = a cos$\theta$

Answer 1

Given $x=a\sin \theta ⟹\frac{x}{a}=\sin \theta$

$y=a\cos \theta ⟹\frac{y}{a}=\cos \theta$

As we know that

${\sin }^2\theta +{\cos }^2\theta =1$

$(\frac{x}{a}{)}^2+(\frac{y}{a}{)}^2=1$

$⟹x^2+y^2=a^2$