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The solution of 4sin^2x+tan^2x+cos e c^2...

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

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`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`.
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