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If `a_(1), a_(2), a_(3).,,,,,,,,a_(n)` are in A.P and their common difference is d. The value of the series `sin d_(1) [sec a_(1).sec a_(2) + sec a_(2).sec a_(3)+ ….+ sec a_(n-1).sec a_(n)]` is……..

A

`sec a_(1).sec a_(n)`

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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