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If tanA-tanB=x and cotB-cotA=y , then co...

If `tanA-tanB=x` and `cotB-cotA=y` , then `cot(A-B)` . is equal to (i) `1/y-1/x` (ii) `1/x-1/y` (iii)`1/y+1/x` (iv) `1/(x+y)`

A

`1/y-1/x`

B

`1/x-1/y`

C

`1/x+1/y`

D

None of these.

Text Solution

Verified by Experts

The correct Answer is:
C
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cot(A-B)=(cotA.cotB+1)/(cotB-cotA)

cot(A+B)=(cotA.cotB-1)/(cotB+cotA)

cot(A-B)=(cotA.cotB+1)/(cotB-cotA)