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If tanA=3//4andtanB=-12//5, then how ma...

If `tanA=3//4andtanB=-12//5`, then how many values can cot (A -B) have depending on the actual values of A and B ?

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D

`tanA=(3)/(4)andtanB=-(12)/(5)`
`thereforecot(A-B)=(1)/(tan(A-B))=(1=tanAtanB)/(tanA-tanB)`
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