How do you find the absolute maximum and minimum of the function "z"?

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$f(z)$ = $\sin x + \sin y + \sin (x+y)$ in the region $0 ≤ x ≤ \frac{π}{2}$ , $0 ≤ y ≤ \frac{π}{2}$

What is the best way to resolve this issue?

Should I take the first derivative, find the zeros, and test the value of the function against the other points?