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IF `, a_(1),a_(2),a_(3),….,a_(n)` are in AP with common difference d ( where ` d ne 0`) then prove that the sum of the series sin d `( coses a_(1) coses a_(2) + cosec a_(2) cosec a_(3) + ….. + cosec a_(n-1) cosec a_(n)`) is equal to ` ( cot a_(1) - cot a_(n))`

A

`sec a_(1)-sec a_(n)`

B

`cosec a_(1)-cosec a_(n)`

C

`cot a_(1)-cota_(n)`

D

`tan a_(1)-tan a_(n)`.

Text Solution

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The correct Answer is:
C
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