find the value of expression tan(1/2 cos^-1 2/underoot5
find the value of expression tan(1/2 cos^-1 2/underoot5
Shivani Bhardwaj , 9 Years ago
Grade 12th pass
Trigonometry> find the value of expression tan(1/2 cos^...
1 AnswersVikas TU
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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