`(tan(x)cot(x))/cos(x) = sec(x)` Verfiy the identity.

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Chapter 5, 5.2 - Problem 35 - Precalculus (3rd Edition, Ron Larson).
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mathace | (Level 3) Assistant Educator

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Verify the identity: `[tan(x)cot(x)]/cos(x)=sec(x)`

Simplify the numerator on the left side of the equation. Since tan(x) and cot(x) are reciprocals their product is 1.

`1/cos(x)=sec(x)`

Simplify the left side of the equation using the reciprocal identity 1/cos(x)=sec(x).

`sec(x)=sec(x)`

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