`cos(x) + sin(x) tan(x) = sec(x)` Verfiy the identity.

Textbook Question

Chapter 5, 5.2 - Problem 12 - Precalculus (3rd Edition, Ron Larson).
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embizze | High School Teacher | (Level 1) Educator Emeritus

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Verify `cos(x)+sin(x)tan(x)=sec(x)` :

`cos(x)+sin(x)tan(x)`

`=cos(x)+sin(x)*sin(x)/cos(x)`

`=cos(x)+sin^2(x)/cos(x)`

`=(cos^2(x)+sin^2(x))/cos(x)`

`=1/cos(x)`

`=sec(x)`

as required.

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