Is (sin(3θ))/(sin(θ))=3-4sin^2(θ) ?

The answer to whether (sin(3θ))/(sin(θ))=3-4sin^2(θ) is True

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prove (sin(3θ))/(sin(θ))=3-4sin^2(θ)

prove

\frac{sin ( 3 θ )}{sin ( θ )} = 3 - 4 sin^{2} (θ)

True

Solution steps

\frac{sin ( 3 θ )}{sin ( θ )} = 3 - 4 sin^{2} (θ)

Manipulating left side

\frac{sin ( 3 θ )}{sin ( θ )}

Rewrite using trig identities

= 3 - 4 sin^{2} (θ)

We showed that the two sides could take the same form

\Rightarrow True

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Is (sin(3θ))/(sin(θ))=3-4sin^2(θ) ?
The answer to whether (sin(3θ))/(sin(θ))=3-4sin^2(θ) is True