Question

Cosec A + cot A / cosec A - cot A = ( cosec A + cot A)^2= 1+2cot^2A+ 2cosecA × cot A

Answer 1

Step-by-step explanation:

cosecA+cotA/cosecA-cotA

=(cosecA+cotA)/(cosecA-cotA)× (cosecA+cotA)/(cosecA-cotA)

=(cosecA+cotA)²/cosec²A-cot²A

=(cosecA+cotA)² [cosec²A-cot²A=1]

now, (cosecA+cotA)²

=cosec²A+cot²A+2cosecAcotA

=1+cot²A+cot²A+2cosecAcotA

=1+2cot²A+2cosecAcotA