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Simplify: sin(x)/tan(x) + cos(x)tan(x), then sin(x)/tan(x) + cos(x)tan(x) = (sin x)/(sin x / cos x) + cos x ( sin x / cos x) = (sin x)(cos x / sin x) + cos x ( sin x ...

These are called Pythagorean identities, because, as we will see in their proof, they are the trigonometric version of the Pythagorean theorem.

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