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Grade: 12th pass

                        

find the value of expression tan(1/2 cos^-1 2/underoot5

4 years ago

Answers : (1)

Vikas TU
12281 Points
							
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
 
4 years ago
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