First slide

Properties of ITF

Question

$\tan [2 T a n^{- 1} (\cos x)] =$

Moderate

A

$2 \tan x \cos x$
B

$2 \tan x \cos e c x$
C

$2 \cot x \cos e c x$
D

$2 \sec x$

Solution

$W e h a v e \tan [2 \tan^{- 1} (\cos x)] = \tan [\tan^{- 1} (\frac{2 \cos x}{1 - \cos^{2} x})] = \frac{2 \cos x}{\sin^{2} x} = 2 \cos e c x c o t x$

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