Evaluate the following: Verify the following: 2 30^ 30^ = 60^ - Vidyadip

Question

Evaluate the following:
Verify the following:
$2\sin30^\circ\cos30^\circ=\sin60^\circ$

✓

Answer

$2\sin30^\circ\cos30^\circ=\sin60^\circ$
$=2\times\frac{1}{2}\times\frac{\sqrt{3}}{2}=\frac{\sqrt{3}}{2}$
Also, $\sin60^\circ=\frac{\sqrt{3}}{2}$
$\therefore\ 2\sin30^\circ\cos30^\circ=\sin60^\circ$

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