nworiejoseph068
Answered

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solve sin2theta=2sinthetacostheta​

Sagot :

MrRoyal

Answer:

[tex]\sin(2\theta) =2 \sin \theta \cos \theta[/tex] proved

Step-by-step explanation:

Given

[tex]\sin2 \theta=2 \sin\theta cos\theta[/tex]

Required

Prove

Proving from left to right.

[tex]\sin(2\theta) = \sin(\theta+\theta)[/tex]

In trigonometry

[tex]\sin(A+B) = \sin A \cos B+\sin B \cos A[/tex]

When this formula is applied to:[tex]\sin(2\theta) = \sin(\theta+\theta)[/tex]

We have:

[tex]\sin(2\theta) = \sin \theta \cos \theta+\sin \theta \cos \theta[/tex]

[tex]\sin(2\theta) =2 \sin \theta \cos \theta[/tex]

Proved

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