Question

If $x$$=a$ sin$\theta$ and $y=$$a$ cos$\theta$ then find the value of $x^2$ + $y^2$

Answer 1

Given $x$$=a$ sin$\theta$ and $y=$$a$ cos$\theta$

$x^2+y^2$

$={\left(a\sin \theta \right)}^2+{\left(a\cos \theta \right)}^2$

$=a^2({\sin }^2\theta +{\cos }^2\theta )$

$=a^2$