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{x inR:cos2x+2cos^(2)x=2} is equal to...

`{x inR:cos2x+2cos^(2)x=2}` is equal to

A

`{2n pi+(pi)/(3):n in Z}`

B

`{n pi+-(pi)/(6): n in Z}`

C

`{n pi+(pi)/(3):n in Z}`

D

`{2n pi-(pi)/(3):n in Z}`

Text Solution

Verified by Experts

The correct Answer is:
B
Given,
`2cos^(2)x-1+2 cos^(2)x=2`
`implies" "cosx=+-(sqrt(3))/(2)`
`:." "x=npi+-(pi)/(6):n in Z`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 19-Paper 2 (Mathematics)
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