Question

root 1-cos square a/ 1+cot square a​

Answer 1

Answer:

sin^3 A

Explanation :

Refer the attached picture.

Answer 2

We have,

$\sqrt{ \frac{1 - {cos}^{2}a }{1 + {cot}^{2} a} }$

The numerator clearly corresponds to

${sin}^{2} a$

and the denominator to

${cosec}^{2} a$

Hence, the question becomes

$\sqrt{ \frac{ {sin}^{2}a }{ {cosec}^{2}a } }$

We know,

$sina = \frac{1}{coseca}$

Thus,

$\sqrt{ {sin}^{4}a } = {sin}^{2} a$

Regards

Kshitij