Question

simplify.
cos x tan x
use algebra and the fundamental trigonometric identities.
your answer should be a number or use a single trigonometric function.

Explanation:

Step1: Substitute the tangent identity

Recall that \(\tan x=\frac{\sin x}{\cos x}\).
So, \(\cos x\tan x=\cos x\times\frac{\sin x}{\cos x}\)

Step2: Simplify the expression

Cancel out the \(\cos x\) terms.
\(\cos x\times\frac{\sin x}{\cos x}=\sin x\)

Answer:

\(\sin x\)