InterviewSolution
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InterviewSolution
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If `-1lexle0` then `sin{tan^(-1)((1-x^(2))/(2x))-cos^(-1)((1-x^(2))/(1+x^(2)))}` is equal toA. 1B. `-1`C. 0D. none of these |
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Answer» We know that `tan^(-1)=-pi+cot^(-1)(1/x)if xlt0` `therefore {tan^(-1)(1-x^(2))/(2x) -cosf^(-1)(1-x^(2))/(1+x^(2))}` `=sin{-pi+co^(-1)(2x)/(1-x^(2))-cos^(-1)(1-x^(2))/(1+x^(2))}` `=sin{-(pi)/(2)-2tn^(-2)tan^(-1)x+2tan^(-1)x+2tan^(-1)x}` `=sin(-(pi)/(2))=-1` |
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