(sin(x)*tan(x))/(cos(x)) can be simplifed to what?

I got:

(sin(x))^2/(cos(x))^3

Thanks for the Help!

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- Nov 20th 2006, 10:42 AMqbkr211 other Trig Problem
(sin(x)*tan(x))/(cos(x)) can be simplifed to what?

I got:

(sin(x))^2/(cos(x))^3

Thanks for the Help! - Nov 20th 2006, 10:48 AMtopsquark
- Nov 20th 2006, 10:50 AMqbkr21Re:
They want it "Simplified", well them wanting it "Simplified" is causing me heartache tryingn to get in into the computer system.

- Nov 20th 2006, 10:56 AMtopsquark
I can imagine. I would presume that "simplified" in this case would mean in terms of sine and cosine, but you could also argue that they want "as few functions as possible" or "no fractions." For no fractions and only two trig functions we could write this as:

$\displaystyle sin^2(x)sec^3(x)$

for example.

Best of luck! (Go bother your professor about this. If your professor is going to make you use computer software that doesn't ask for an explicit form, then he/she deserves to be bothered! ;) )

-Dan - Nov 20th 2006, 11:38 AMSoroban
Hello, qbkr21!

Am I reading it wrong?

Quote:

$\displaystyle \frac{\sin x \tan x}{\cos x}$ can be simplifed to what?

I don't see a "cube" in the problem.

We have: .$\displaystyle \frac{\sin x}{\cos x}\cdot\tan x \;=\;\tan x\cdot\tan x \;=\;\tan^2x$

- Nov 20th 2006, 11:43 AMtopsquark