# Verify the identity: (1-cosx)(1+cosx) = sin^{2}x.

## Question:

Verify the identity: {eq}(1-cosx)(1+cosx) = sin^{2}x. {/eq}

## Proving

Verifying the identity means that we have to prove the two sides of the equation to be the same. For this, we need to simplify the left-hand side of the equation as it is more complicated and make it the same as the other side.

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