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Find the sum of n terms the series: 1/(c...

Find the sum of n terms the series: `1/(costheta+cos3theta0+1/(costheta+cos5theta)+1/(costheta+cos7theta)+…`

A

`(cot x - cot (n+1)x)/(sin x)`

B

` (cot x - tan (n+1)x)/(2 cos x)`

C

`(tanx - cot (n+1)x)/(cos x)`

D

`(tan(n+1)x-tanx)/(2 sin x)`

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The correct Answer is:
D
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