InterviewSolution
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InterviewSolution
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If `alpha and beta` are non-zero real number such that `2(cos beta-cos alpha)+cos alpha cos beta=1.` Then which of the following is treu?A. `tan ((alpha )/(2)) + sqrt3 tan ((beta)/(2)) =0`B. `sqrt3 tan ((alpha)/(2)) + tan ((beta)/(2)) =0`C. `tan ((alpha )/(2)) - sqrt3 tan ((beta)/(2)) =0`D. `sqrt3 tan (( alpha )/(2)) - tan ((beta)/(2))= 0` |
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Answer» Correct Answer - A::C `cos beta ( 2+ cos alpha ) = 1+ 2 cos alpha ` `rArr (cos beta)/(1) = (1+2 cos alpha )/(2 + cos alpha )` `rArr (1-cos beta)/(1+cos beta) = (1-cos alpha )/(3(1+cos alpha ))` `rArr tan ^(2) ""(alpha )/(2) = 3 tan ^(2) ""(beta)/(2)` `rArr tan ""(alpha )/(2) = pm sqrt3 tan ""(beta)/(2)` |
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