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 Post subject: Solving Trig EquationsPosted: Wed, 4 Apr 2012 20:22:45 UTC
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Joined: Wed, 4 Apr 2012 20:15:46 UTC
Posts: 10
I am stuck on this one.

csc^2 = 2cot + 4

I did the pythagorean identity and my equation becomes

1 + cot^2 = 2cot + 4 and ended up at

(cot - 3) (cot +1)=0

I think part of my answer is 2pik + 3pi/4, or is it pi k + 3pi/4? and 5pi/4? But what about cot=3?

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 Post subject: Re: Solving Trig EquationsPosted: Wed, 4 Apr 2012 20:55:22 UTC
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Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12074
Location: Austin, TX
djsgarrett wrote:
I am stuck on this one.

csc^2 = 2cot + 4

I did the pythagorean identity and my equation becomes

1 + cot^2 = 2cot + 4 and ended up at

(cot - 3) (cot +1)=0

I think part of my answer is 2pik + 3pi/4, or is it pi k + 3pi/4? and 5pi/4? But what about cot=3?

Cotangent is 1 at , the only one on your list which is off is the which gives a value of 1.

For 3, this doesn't fit into normal schema, so I'd just go with , that's about as good as you'll get.

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 Post subject: Re: Solving Trig EquationsPosted: Thu, 5 Apr 2012 03:01:33 UTC
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Joined: Wed, 4 Apr 2012 20:15:46 UTC
Posts: 10
Thank you!

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