InterviewSolution
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InterviewSolution
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If `-1lexle0` then `tan{1/2sin^(-1)((2x)/(1+x^(2)))+1/2cos^(-1)((1-x^(2))/(1+x^(2)))}` is equal toA. `(2x)/(1-x^(2))`B. 0C. `(2x)/(1+x^(2))`D. x |
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Answer» We know that `sin^(-1)(2x)/(1+x^(2))=-2 tan^(-1) x if -1 le x le 1` and ` cos^(-1)((1-x^(2))/(1+x^(2)))=-2 tan^(-1)x if -oo lex le 0` `therefore tan{1/2sin^(-1)(2x)/(1+x^(2))+1/2 cos^(-1)(1-x^(2))/(1+x^(2)` `=tan(tan^(-1)x-tan^(-1)x) if -1 le x le 0 =-tan 0=0` |
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