Question

Express secΦ in terms of tanΦ​

Answer 1

`\sec\theta=√(1+\tan^2\theta)`

Explanation:

The trigonometric identity is :

`\sec^2\theta-\tan^2\theta=1\\\\or\\\\\sec^2\theta=1+\tan^2\theta`

We need to express secθ in terms of tanθ.

The above equation becomes,

`\sec\theta=√(1+\tan^2\theta)`

Hence, this is the required solution.