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Question

tan1(xy)tan1(xyx+y) is equal to
a) π2
b) π3
c) π4
d) 3π4

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Solution

tan1(xy)tan1(xyx+y)=tan1(xy)tan1(xy1xy+1)=tan1(xy){tan1xytan11} [ tan1xtan1y=tan1(xy1+xy)]
=tan11=π4, Hence, the correct option is (c).


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