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find the value of expression tan(1/2 cos^-1 2/underoot5 find the value of expression tan(1/2 cos^-1 2/underoot5
Use the identity = > tan(theta/2) = (1- costheta)/sinthetaHere, theta = cos^-1(2/underoot5)then tan(theta/2) = (1- cos(cos^-1(2/underoot5)))/sin(cos^-1(2/underoot5)) = (1 – 2/root5)/(1/root5) = (root5 – 2)/1
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