Thread: Trigonometry Identity Rearrangement
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Old June 15th, 2008, 03:54 AM
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Hello,

Quote:
Originally Posted by Air View Post
Can someone show me how \sin ^22\theta equal to 1-\cos 4\theta?

Thanks in advance.
\cos 4 \theta=\cos (2 \cdot 2 \theta)

Using the identity \cos 2a=1-2 \sin^2a, we get :

\cos 4 \theta=1-2 \sin^2 2\theta

\sin^2 2 \theta=\frac{1-\cos 4 \theta}{\color{red}2}

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