Question

prove that √cosec A -1/cosec A +1 = √ 1-sinA / cos A​

Answer 1

Answer:

given

√cosecA-1/√cosecA+1=√cosecA-1/√cosecA+1×√cosecA+1/√cosecA+1

=√(cosecA-1)²/√cosec²A-1

=cosecA-1/cotA=1/sinA-1/cosA/sinA [taking lcm]

=1-sinA/sinA ×sinA/cosA=1-sinA/cosA

Explanation:

=RHS proved