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If tanA-tan B=x, and cot B-cotA=y, then ...

If `tanA-tan B=x`, and `cot B-cotA=y`, then find the value of `cot(A-B)`.

A

`(1)/(x)+y`

B

`(1)/(xy)`

C

`(1)/(x)-(1)/(y)`

D

`(1)/(x)+(1)/(y)`

Text Solution

Verified by Experts

The correct Answer is:
D
`cot(A-B)=(1)/(tan(A-B))=(1+tanAtanB)/(tanA-tanB)`
`=(1)/(tanA-tanB)+(tanAtanB)/(tanA-tanB)=(1)/(x)+(1)/(y)`
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