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## #1 2007-04-14 16:22:39

akspar
Guest

### Proving trig identity

I have had trouble solving this problem.

Beginning with the trigonmetic identity
cos^2(phi)+ sin^2(phi) = 1

show that the trigonmetric identity
cot(phi) + csc(phi) = sin(phi)/ 1 - cos(phi) holds

any help would be much appreciated.

## #2 2007-04-14 17:59:58

Stanley_Marsh
Member
Registered: 2006-12-13
Posts: 345

### Re: Proving trig identity

sin(phi)/ 1 or 1/sin(phi) ?

Numbers are the essence of the Universe

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## #3 2007-04-14 18:09:02

akspar
Guest

### Re: Proving trig identity

Here is a better illustration of it.

## #4 2007-04-14 22:05:49

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

### Re: Proving trig identity

Well, youre told to begin with the trig identity, so start there.

Now divide by sin(φ)(1−cos(φ)) and youll get the answer.

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## #5 2007-04-14 22:19:25

akspar
Guest

### Re: Proving trig identity

Thanks so much, can't believe i didn't c that.