Help with proof of trig identity.  TOPIC_SOLVED

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Help with proof of trig identity.

Postby thresher on Thu Nov 22, 2012 4:31 am

I will be honest this is my first post here and am 100% new to the site. But I have been staring at this problem for nearly an hour and I am stuck. I am trying to verify the following identity.

(sin^2(t))/(1-cos(t))= 1+cost. and this is what I have so far.

I assume I should pick apart the left side as its more complicated. so (sin^2(t))/(1-cos(t)) --> (1-cos2t)/2)/(1-cost). I think but from there I am stuck. Am I even looking at things from the right direction? Any suggestions would be appreciated.
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Re: Help with proof of trig identity.  TOPIC_SOLVED

Postby nona.m.nona on Thu Nov 22, 2012 10:27 pm

thresher wrote:(sin^2(t))/(1-cos(t))= 1+cost. and this is what I have so far.

I assume I should pick apart the left side as its more complicated. so (sin^2(t))/(1-cos(t)) --> (1-cos2t)/2)/(1-cost).

Rather than using a double-angle identity, it might be simpler to use something simpler: perhaps the basic Pythagorean Identity, sin2(t) + cos2(t) = 1. Then factor and cancel.
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Re: Help with proof of trig identity.

Postby thresher on Sun Dec 02, 2012 5:35 am

Thanks. I am kinda hitting myself on the head right now wondering how the heck I didn't see that myself. >.<
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