Q. 255.0( 1 Vote )

# Mark the Correct alternative in the following:If α and β are acute angles satisfying then tan α =A.B. C. D.

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.

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