Mark the Correct alternative in the following:
If α and β are acute angles satisfying then tan α =
Given for α < 90° and β < 90° ,
Then tan α is given by
Consider
[using componendo and dividend principle, if ]
[ using cos 2x = 1- 2sin2 x = 2cos2x – 1 ]
[ using cos 2x = cos2 x – sin2 x ]
[ using cos2 x + sin2 x = 1]
tan2 α = 2 tan2 β
applying square root on both sides
Hence the answer is option A.