Question

write the expression in terms of sine and cosine, and then simplify the expression so that no quotients appear and all functions are of x only. tan x cos x tan x cos x =

Explanation:

Step1: Substitute $\tan x$ with $\frac{\sin x}{\cos x}$

$$\tan x\cos x=\frac{\sin x}{\cos x}\cdot\cos x$$

Step2: Simplify the expression

$$\frac{\sin x}{\cos x}\cdot\cos x=\sin x$$

Answer:

$\sin x$