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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

Grade:12th pass

1 Answers

Vikas TU
14149 Points
4 years ago
Use the identity = > tan(theta/2) = (1- costheta)/sintheta
Here, 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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