InterviewSolution
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InterviewSolution
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If`u=sin(mcos^(-1)x),v=cos(msin^(-1)x),p rov et h a t(d u)/(d v)=sqrt((1-u^2)/(1-v^2))` |
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Answer» `u = sin(m cos^-1 x) ` `v = cos(m sin^-1 x) ` `sin^-1 u = m cos^-1 x` and `cos^-1 v = msin^-1 x` 1 + 2 `sin^-1 u + cos^-1 v = m(cos^-1 x + sin^-1 x) = m pi/2` diff wrt v `1/(sqrt(1-u^2)) (du)/(dv) + (-1)/sqrt(1-v^2)= 0 ` `(du)/(dv) = sqrt((1-u^2)/(1-v^2))` Answer |
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