Question

sin 2B =2 sin B is true when B is equal to​

Answer 1

Step-by-step explanation:

sin 2B = 2 sin B

When B = 0°

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Answer 2

The value of ∠B = 0°

Step-by-step explanation:

We have,

$\sin 2B=2\sin B$

To find, the value of ∠B = ?

∴ $\sin 2B=2\sin B$

⇒ $2\sin B\cos B=2\sin B$

Using trigonometric identity,

$\sin 2\theta=2\sin \theta\cos \theta$

⇒ $\cos B=\dfrac{2\sin B}{2\sin B}$

⇒ $\cos B=1$

⇒ $\cos B=\cos 0$

[ ∵ $\cos 0=1$]

⇒ ∠B = 0°

Hence, the value of ∠B = 0°