Answer
$-\frac{\pi}{3}\leq θ \leq \frac{\pi}{3} , secθ \leq r \leq 2$
Work Step by Step
$x^{y}+x^{y}=x^{y}$
$=> r=2$
$x=1 => r=secθ $
$secθ=2=>θ =\frac{\pi}{3}or -\frac{\pi}{3} $
$-\frac{\pi}{3}\leq θ \leq \frac{\pi}{3} , secθ \leq r \leq 2$