Question

`sqrt((1 - sin A)/(1 + sin A)` = ?

पर्याय

• sec A – tan A

• sec A + tan A

• sec A tan A

• None of these

Answer 1

sec A – tan A

Explanation:

Given expression = `(sqrt(1 - sin A))/(sqrt(1 + sin A)) xx (sqrt(1 - sin A))/(sqrt(1 - sin A))`

= `((1 - sin A))/sqrt(1 - sin^2A)`

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

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

= (sec A – tan A)