Question

Evaluate:

${\sin }^2{30}^{\circ }+{\sin }^2\left({90}^{\circ }-{30}^{\circ }\right)$

Answer 1

We have to find the value of ${\sin }^2{30}^{\circ }+{\sin }^2\left({90}^{\circ }-{30}^{\circ }\right)$

${\sin }^2{30}^{\circ }+{\sin }^2\left({90}^{\circ }-{30}^{\circ }\right)$$={\sin }^2{30}^{\circ }+{\cos }^2\left({30}^{\circ }\right)$

${\sin }^2{30}^{\circ }+{\sin }^2\left({90}^{\circ }-{30}^{\circ }\right)$$=1$.