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If tan theta =sqrt((3)/(2)), then the su...

If `tan theta =sqrt((3)/(2)),` then the sum of infinity of the series, `1+2 (1-cos theta ) + 3 (1-cos theta ) ^(2) +4(1- cos theta )^(3)+…` is-

A

`2/3`

B

`(sqrt3)/(4)`

C

`(5)/(2sqrt2)`

D

`5/2`

Text Solution

Verified by Experts

The correct Answer is:
D
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