The value of (cotx-tanx)/(cot2x) is...

The value of `(cotx-tanx)/(cot2x)` is

A

1

B

2

C

`-1

D

4

Verified by Experts

The correct Answer is:

B

`(cotx-tanx)/(cot2x)=tan2x(cotx-(1)/(cotx))`
`=tan2x((cot^(2)x-1)/(cotx))`
`=tan2x((cot^(2)x-1)/(2cotx))*2`
`=tan2xcot2x*2=2`

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