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

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embizze eNotes educator| Certified Educator

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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