Evaluate : 2 ^2 30^ 60^ + ^2 60^ . - Vidyadip

Question

Evaluate : $2 \sin ^2 30^{\circ} \sec 60^{\circ}+\tan ^2 60^{\circ}$.

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Answer

$2 \sin ^2 30^{\circ} \sec 60^{\circ}+\tan ^2 60^{\circ}$
$=2 \times\left(\frac{1}{2}\right)^2 \times 2+(\sqrt{3})^2$
$=4$

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