# Thread: Simplify This Trigonometric Expression

1. ## 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.

2. 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)

"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.
$\displaystyle \frac {\cos x \sec x}{\cot x} = \frac {\cos x \frac 1{\cos x}}{\frac {\cos x}{\sin x}}$

$\displaystyle = \frac 1{\frac {\cos x }{\sin x}}$

$\displaystyle = \frac sc$

3. Haha, wow, thanks a lot man. I feel really dumb for that, cause I got it down to (cos(1/cos))/(cos/sin) but then I overcomplicated the problem and tried to make it (cos/(cos/sin)) x (1/cos)/(cos/sin). But again, thank you for your help.