Question

If $x=\sqrt{a}sin\alpha$ and $y=\sqrt{a}cos\alpha$. The value of $y^2$ + $x^2$ is ___

Answer 1

x = $\sqrt{a}sin\alpha$ and y = $\sqrt{a}cos\alpha$

$x^2$ = $asi{n}^2\alpha$ and $y^2$ = $aco{s}^2\alpha$
On adding $x^{2}and{y}^2$, we get
$y^2$ $+$ $x^2$ = $a(co{s}^2\alpha +si{n}^2\alpha )=a$