The correct option is A TrueLHS sin 2x2cos x 2sin x cos x2cos x sin xcos x tan x Hence proved. ...

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Theorems for Continuity

sin 2x2cos x=...

Question

$\frac{sin 2 x}{2 cos x} = tan x ?$

True

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False

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Solution

The correct option is A True
LHS

$\frac{sin 2 x}{2 cos x}$

$\frac{2 sin x cos x}{2 cos x}$

$⟹ \frac{sin x}{cos x}$

$⟹ tan x$

Hence proved.

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