Question

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

पर्याय

• cosec A – cot A

• cosec A + cot A

• cosec A cot A

• sin A tan A

Answer 1

cosec A + cot A

Explanation:

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

= `((1 + cos A))/sqrt(1 - cos^2A)`

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

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

= (cosec A + cot A)