write the expression in terms of sine and cosine, and then simplify the expression so that no quotients…
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 =
Answer
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:
$\sin x$