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`tan^(-1)(C_(1)x-y)/(c_(1)+c_(3)c_(2))+..+tan^(-1)(1)/(c_(n))` is equal topA. `tan^(-1)(y)/(x)`B. `tan^(-1)(x)/(y)`C. `-tan^(-1)(x)/(y)`D. none of these |
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Answer» `tan^(-1)((c_(1)x-y)/(c_(1)y+x))+tan^(-1)(c_(2)-c_(1)/(12+c_(2)c_(1))+tan^(-1)(c_(3)-c_(2))/(1+c_(3)c_(2))+…+tan^(-1)(1)/(c_(n))` `=tan^(-1)(x)/(y)-tan^(-1)(1)/(c_(1))+(tan^(-1)(1)/(c_(1))-tan^(-1)(1)/(c_(2))+(tan^(-1))(1)/(c_(2))-tan^(-1)(1)/(c_(3))+..+(tan^(-12))(1)/(c_(n-1))-tan^(-1)(1)/(c_(n)))+tan^(-1)(1)/(c_(n))` `=tan^(-1)(x)/(y)` |
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