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How do you prove ## cos ^2theta - sin ^2 theta = 1 - 2sin^2 ...

How do you prove ## cos ^2theta - sin ^2 theta = 1 - 2sin^2 ...

The Pythagorean identity states that ##sin^2theta+cos^2theta=1##. We can rearrange the identity to see that ##cos^2theta=1-sin^2theta##. If we know that ##cos^2theta=1-sin^2theta##, we can replace ##c...

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