The solution of `4sin^2x+tan^2x+cos e c^2x+cot^2x-6=0i s(n in Z)` `npi+-pi/4` (b) `2npi+-pi/4` `npi+pi/3` (d) `npi-pi/6`

Explanation

`4sin^2x+cosec^2x+tan^2x-6=0`

`4sin^2x+cosec^2x-4+tan^2x+cot^2x-2=0`

`(4sin^2x+cosec^2x-4sinxcosecx)+tan^2x+cot^2x-2tanx*cotx=0`

`(2sinx-cosecx)^2+(tanx-cotx)^2=0`

`2six=1/sinx`

`sin^2x=1/2`

`tan^2x=1`

`x=npipmpi/4`.