Question

PROVE: -
√cosec^2A-1=cosA.cosecA​

Answer 1

Answer:

Cosec^2 A - 1 = cot^2 A

Cot A = Cos A * Cosec A

:-Hence, Proved.

Answer 2

Step-by-step explanation:

$\\\tt \sqrt{ \csc ^{2} A -1}$

Uaing identity:

$\\\tt \cot ^{2}A + 1 = \csc^2A$

$\\\tt \implies \sqrt{cot^2A} \\\tt = cot A\\\tt = \dfrac{cos A}{ sin A } \\\tt = cos A csc A$

Note: csc is same thing as cosec