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View Full Version : Pretty difficult trig proof (identity)..


iRaid
Aug25-11, 07:11 PM
1. The problem statement, all variables and given/known data
\frac{sin\theta}{1-cos\theta} - \frac{cot\theta}{1+cos\theta} = \frac{1-cos^{3}\theta}{sin^{3}\theta}


2. Relevant equations
Trig identities..


3. The attempt at a solution
Basically I got to:
\frac{sin\theta+(cos^{2}\theta)(sin\theta)}{sin^{2 }\theta}
1. The problem statement, all variables and given/known data

Is that right up to there, I think not because I cant get passed this lol.


2. Relevant equations



3. The attempt at a solution

SammyS
Aug25-11, 09:04 PM
That doesn't look right.

Show how you got your result so we can help you.

PeterO
Aug25-11, 09:35 PM
1. The problem statement, all variables and given/known data
\frac{sin\theta}{1-cos\theta} - \frac{cot\theta}{1+cos\theta} = \frac{1-cos^{3}\theta}{sin^{3}\theta}


2. Relevant equations
Trig identities..


3. The attempt at a solution
Basically I got to:
\frac{sin\theta+(cos^{2}\theta)(sin\theta)}{sin^{2 }\theta}
1. The problem statement, all variables and given/known data

Is that right up to there, I think not because I cant get passed this lol.


2. Relevant equations



3. The attempt at a solution

You did notice the cot function did you - or did you misread it as cos?

PeterO
Aug25-11, 09:41 PM
I don't think you were supposed to solve the question for the Original Poster!!!!!

Dr. Seafood
Aug25-11, 10:00 PM
>_> Oh. Well, I hope my explanation blurb thing helps so that I'm not just blatantly giving the solution without providing any real understanding.

Mark44
Aug25-11, 10:13 PM
>_> Oh. Well, I hope my explanation blurb thing helps so that I'm not just blatantly giving the solution without providing any real understanding.PeterO is correct. The Physics Forums rules do not permit a member to post the solution to another member's problem.

iRaid
Aug26-11, 08:13 AM
OK, I attached the rest of my work..

PeterO
Aug26-11, 08:24 AM
OK, I attached the rest of my work..

In your 5th line, when you took out a factor of sin(theta) in the numerator, it was not a common factor, as it was in the denominator of a couple of the terms.

iRaid
Aug26-11, 10:08 AM
In your 5th line, when you took out a factor of sin(theta) in the numerator, it was not a common factor, as it was in the denominator of a couple of the terms.

I see now thanks, I got it. Stupid mistakes.