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uysha [10]
3 years ago
9

Solve sin2theta=2sinthetacostheta​

Mathematics
1 answer:
pashok25 [27]3 years ago
4 0

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

<em>Proved</em>

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