InterviewSolution
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InterviewSolution
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If `cosx=(2cosy-1)/(2-cosy),`where `x , y in (0,pi)`then `tanx/2coty/2`is equal to`sqrt(2)`(b) `sqrt(3)`(c) `1/(sqrt(2))`(d) `1/(sqrt(3))`A. `sqrt(2)`B. `sqrt(3)`C. `(1)/sqrt(2)`D. `(1)/sqrt(3)` |
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Answer» Correct Answer - B `cos x=(2cos y-1)/(2-cosy)` `rArr(1-tan^(2)((x)/(2)))/(1+tan^(2)((X)/(2)))=((2(1-tan^(2)y//2))/(1+tan^(2)y//2))/(2-(1-tan^(2)y//2)/(1+tan^(2)y//2))=((1-3tan^(2)((y)/(2)))/(1+3tan^(2)((y)/(2))))` `rArr tan^(2)((x)/(2))=3tan^(2)((y)/(2))` or `tan((x)/(2))cot((y)/(2))=sqrt(3)`. |
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