The value of the expression 1+"cosec"(pi...

The value of the expression `1+"cosec"(pi)/(4)+"cosec"(pi)/(8)+"cosec"(pi)/(16)` is equal to

A

`cot.(pi)/(8)`

B

`cot.(pi)/(16)`

C

`cot.(pi)/(32)`

D

`"cosec"^(2).(pi)/(16)`

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The correct Answer is:

C

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