Question

The value of ${\sin }^2{30}^o+{\cos }^2{60}^o$ is

Answer 1

We know,

$\sin {30}^o=\frac{1}{2}$ and $\cos {60}^o=\frac{1}{2}$

Therefore,

${\sin }^2{30}^o+{\cos }^2{60}^o=\frac{1}{4}+\frac{1}{4}=\frac{2}{4}=\frac{1}{2}$