InterviewSolution
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InterviewSolution
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If `xgt0x,ygt0 and x gty` then `tan^(-1){(x)/(y)}+tan^(-1){(x+y)/(x-y)}` is equal toA. `(pi)/(4)`B. `(pi)/(4)`C. `(3pi)/(4)`D. none of these |
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Answer» `tan^(-1)(x)/(y)+tan^(-1)(x+y)/(x-y)` `tan^(-1)(x)/(y)+tan^(-1)(1+(x)/(y))/((x)/(y)-1)` `tan^(-1)(x)/(y)-tan^(-1)(1+(x)/(y))/(1-(x)/(y))` `tan^(-1)(x)/(y)-(-pi+tan^(-1)1+tan^(-1)(x)/(y))` `=pi-(pi)/(4)=(3pi)/(4)` |
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