# Simplify This Trigonometric Expression

• Nov 8th 2007, 07:37 PM
DesiKid89
Simplify This Trigonometric Expression
Hi, I am getting stuck on this one problem, I have my trigonometric identities down, but I can't figure out how to solve this problem:

(Cos(x)Sec(x))/Cot(x)

"Simplify the trigonometric expression. Once you have simplified the expression completely, change all trigonometric functions in the simplified expression to sines and cosines. Finally, let s = sin(x) and c = cos(x) and enter your answer below. For example, if the expression simplifies to tan(x), you would enter s/c in the answer blank. (Note that your answer should use lower-case letters.)"

I'd really appreciate it if anyone could help, thank you very much in advance.
• Nov 8th 2007, 07:41 PM
Jhevon
Quote:

Originally Posted by DesiKid89
Hi, I am getting stuck on this one problem, I have my trigonometric identities down, but I can't figure out how to solve this problem:

(Cos(x)Sec(x))/Cot(x)

$\frac {\cos x \sec x}{\cot x} = \frac {\cos x \frac 1{\cos x}}{\frac {\cos x}{\sin x}}$
$= \frac 1{\frac {\cos x }{\sin x}}$
$= \frac sc$