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If cosecx=2/sqrt3 and cotx=-1/sqrt3 for ...

If `cosecx=2/sqrt3` and `cotx=-1/sqrt3` for x `in[0,2pi]` then `cosx+cos2x+cos3x+....+cos100x` is

A

`(1)/(2)`

B

`-(1)/(2)`

C

`-(sqrt(3))/(2)`

D

`(sqrt(3))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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VK JAISWAL-COMPOUND ANGLES-Exercise-5 : Subjective Type Problems
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