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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)` `npi+-pi/4` (b) `2npi+-pi/4` `npi+pi/3` (d) `npi-pi/6`

A

`npi pm pi/4`

B

`2n pi pm pi/4`

C

`n pi+pi/3`

D

`n pi-pi/6`

Text Solution

Verified by Experts

The correct Answer is:
A
`(2 sin x-cosec x)^(2)+(tan x-cot x)^(2)=0`
`rArr sin^(2) x=1/2 and tan^(2) x=1`
`rArr x=n pi pm pi/4, n in Z`
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