Question

cot square-tan square A=cosec squareA -sec square A​

Answer 1

By using the identity,

Cosec^2A= 1+Cot^2A

=> Cot^2A= Cosec^2A-1.....1

And by Sec^2A =1+Tan^2A

=> Tan^2A=Sec^2A-1....2

Subsitute these values in cot^2a-tan^2a

=> Cosec^2A-1--(Sec^2A-1)

=> Cosec^2A-1+1-Sec^2A

=> Cosec^2A-Sec^2A..........