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  4. (1 - tan2 15°/1 + tan2 15°) =

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Q. $ \frac{1 -\tan^2 15^\circ}{1 + \tan^2 15^\circ} = $

COMEDKCOMEDK 2010Trigonometric Functions

Solution:

$ \frac{1 -\tan^2 15^\circ}{1 + \tan^2 15^\circ} = \cos(2(15^\circ))$
$ = \cos 30^\circ = \frac{\sqrt{3}}{2}$