Sin 2A = 2 sin A is true when A =

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)

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