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Question

If x and y are positive and xy>1, then what is tan1x+tan1y equal to ?

A
tan1(x+y1xy)
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B
π+tan1(x+y1xy)
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C
πtan1(x+y1xy)
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D
tan1(xy1+xy)
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Solution

The correct option is B π+tan1(x+y1xy)
If x>0,y>0 such that xy>1,
then x+y is positive and 1xyx+y1−xy is negative
Therefore, x+y1xy is negative
x+y1−xy
tan1x+tan1y=tan1(x+y1xy)+π

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