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Sum of ten terms of the series cot ^(-...

Sum of ten terms of the series
`cot ^(-1) 3+cot ^(-1) 7+cot ^(-1) 13+cot ^(-1) 21+...` is

A

`tan ^(-1) (5)/(6) `

B

`tan ^(-1)(1000) `

C

`tan ^(-1) (6)/(5)`

D

`tan ^(-1) (1)/(100)`

Text Solution

Verified by Experts

The correct Answer is:
A
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HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
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  5. The value of cot ^(-1)((sqrt(1-sin x)+sqrt(1+sin x))/(sqrt(1-sin x)-sq...

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