`cos^2(beta) - sin^2(beta) = 1 - 2sin^2(beta)` Verfiy the identity.

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embizze eNotes educator| Certified Educator

Verify `cos^2(beta)-sin^2(beta)=1-2sin^2(beta)`

Working from the left side, we show that it is equivalent to the right side:

`cos^2(beta)-sin^2(beta)`

`=(1-sin^2(beta))-sin^2(beta)`

`=1-2sin^2(beta)`

as required.