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Question

If cot A+2 tan A=tan B then cot A is


A

2 tan(AB)

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B

2 tan(BA)

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C

2 tan(A+B)

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D

2 tan(A+B)

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Solution

The correct option is B

2 tan(BA)


cot A+2 tan A=tan B ----1

Adding cot A on both sides

2(cot A+tan A)=tan B+cot A

from (1) 2(tan Btan A)=tan B+cot A

2(tan Btan A)tan A tan B+1=1tan A2 tan(BA)=cot A.


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