find the interval for which this equation 2cos^-1x = sin^-1 2x(1-x)^1/2 is valid
Answers
Answered by
8
here is your answer
R.H.S.=sin-12x1-x2 =sin-12cosθ1-cos2θ Let x=cosθ⇒θ=cos-1x =sin-12cosθsin2θ =sin-12cosθsinθ =sin-1sin2θ =2θ =2cos-1x =L.H.S.Hence Proved.
R.H.S.=sin-12x1-x2 =sin-12cosθ1-cos2θ Let x=cosθ⇒θ=cos-1x =sin-12cosθsin2θ =sin-12cosθsinθ =sin-1sin2θ =2θ =2cos-1x =L.H.S.Hence Proved.
Similar questions