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find tan15degree/2 if tn15=2-3^1/2.thanx in advance

find tan15degree/2 if tn15=2-3^1/2.thanx in advance
 

Grade:10

2 Answers

Deepak Kumar Shringi
askIITians Faculty 4407 Points
4 years ago
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Arun
25758 Points
4 years ago
Dear student
 
Tan 2 theta = 2 tan theta/ 1 - tan ²theta
 
Suppose 2 theta = 15°
Hence
theta = 15/2
 
Now
Tan theta = x
 
2 - sqrt(3) = 2x/1 - x²
 
Now you get a quadratic equation and then you can solve for x. Which is tan 15/2

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