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Find all values of x in (-pi,pi) satisfy...

Find all values of x in `(-pi,pi)` satisfying the equation `8^(1+cosx+cos^(2)x+...)=4^(3).`

A

`(pi)/(3),(2pi)/(3)`

B

`(pi)/(3),(-2pi)/(3)`

C

`(-pi)/(3),(2pi)/(3)`

D

`pm(pi)/(3),pm(2pi)/(3)`

Text Solution

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The correct Answer is:
D
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