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If 2sin^(2)x-5sinxcosx-8cos^(2)x=-2 5 th...

If `2sin^(2)x-5sinxcosx-8cos^(2)x=-2` 5 then

A

`x={n pi +tan^(-1)(2),n inn Z}uu{n pi +tan^(-1)(-3/4),minZ}`

B

`x=npi+tan^(-1)(3),n in Z`

C

`x=n pi +tan^(-1)((-4)/3), n in Z`

D

`x=n pi +tan^(-1)(4),n in Z`

Text Solution

Verified by Experts

The correct Answer is:
A
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