Question

1+ 4cosec^2 A.cot^2A - make it in perfect square form?

Answer 1

`1+ 4cosec^2 A.cot^2A`

`=1+ 4(1+cot^2 A)cot^2A`

`=1+ 4cot^2A+4cot^4A`

`=1+ 2*1*(2cot^2A)+(2cot^2A)^2`

`=(1+2cot^2A)^2`