Question

If $sinx+cosy=1$ and $x={30}^{\circ }$, find the value of $y$ in degrees

Answer 1

Given, $\sin x+\cos y=1$
$x={30}^{\circ }$
Now, $\sin 30+\cos y=1$
$\cos y=1-\frac{1}{2}$
$\cos y=\frac{1}{2}$
$\cos y=\cos 60$
$y={60}^{\circ }$