Question

Verify the following equalities.
${\sin }^2{30}^{\circ }+{\cos }^2{30}^{\circ }=1$

Answer 1

${\sin }^{2}30°+{\cos }^{2}30°=1$

$\Rightarrow L.H.S={\sin }^{2}30°+{\cos }^{2}30°={\left(\frac{1}{2}\right)}^2+{\left(\frac{\sqrt{3}}{2}\right)}^2=\frac{1}{4}+\frac{3}{4}$

$=\frac{4}{4}$

$=1$

$\Rightarrow R.H.S=1=L.H.S$

Hence, the answer is verify.