Question

Solve sin2theta=2sinthetacostheta​

Answer 1

Answer:

$\sin(2\theta) =2 \sin \theta \cos \theta$ proved

Step-by-step explanation:

Given

$\sin2 \theta=2 \sin\theta cos\theta$

Required

Prove

Proving from left to right.

$\sin(2\theta) = \sin(\theta+\theta)$

In trigonometry

$\sin(A+B) = \sin A \cos B+\sin B \cos A$

When this formula is applied to:$\sin(2\theta) = \sin(\theta+\theta)$

We have:

$\sin(2\theta) = \sin \theta \cos \theta+\sin \theta \cos \theta$

$\sin(2\theta) =2 \sin \theta \cos \theta$

Proved