Question

Simplest form of `(sec A)/sqrt(sec^2 A - 1)` is ______.

विकल्प

• sin A

• tan A

• cosec A

• cos A

Answer 1

Simplest form of `(sec A)/sqrt(sec^2 A - 1)` is cosec A.

Explanation:

`(sec A)/sqrt(sec^2 A - 1)`

= `(sec A)/sqrt(tan^2 A)`

= `(sec A)/(tan A)`

= `(1/cos A)/(sin A/cos A)`

= `1/(cos A) xx (cos A)/(sin A)`

= `1/(sin A)`

= cosec A