Question:
Sin 2A = 2 sin A is true when A =
(a) $0^{\circ}$
(b) $30^{\circ}$
(c) $45^{\circ}$
(d) $60^{\circ}$
Solution:
We are given $\sin 2 A=2 \sin A \cdot \cos A$
So
$\Rightarrow \sin 2 A=2 \sin A$
$\Rightarrow 2 \sin A \cdot \cos A=2 \sin A$
$\Rightarrow \cos A=1$
$\Rightarrow \cos A=\cos 0^{\circ}$
As $A=0^{\circ}$
Hence the correct option is (a)