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If sin^(3) x + sin x .cos x + cos^(3) x ...

If `sin^(3) x + sin x .cos x + cos^(3) x = 1` then x =

A

`2n pi pm (pi)/(2) : n in Z` or `2n pi : n in Z`

B

`n pi pm (pi)/(6) : n in Z` or `n pi pm (pi)/(3) : n in Z`

C

`n pi pm (pi)/(3) : n in Z` or `n pi pm (pi)/(2) : n in Z`

D

`2n pi + (pi)/(4) : n in Z` or `2n pi : n in Z`

Text Solution

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The correct Answer is:
A
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