SOLVED Proof for sin and cos

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oblacn

i cannot prove this no matter what i try to do! I need help to be able to pass my test tommorrow.

Prove sin(t)/(1-cos(t)) = (1+cos(t)) / sin(t)

I worked with the left terms:

sin(t) / (1-cos(t)) | Problem

sin(t) / (sin^2(t) + cos^2(t)-cos(t)) | Pythagorean ID:sin^2(t) + cos^2(t) = 1

what to do next? i already tried seperating all the terms and that doesn't work out. I have a test tomorrow on this stuff and i really need some help.
 

Jameson

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Oct 2005
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Multiply the right side by \(\displaystyle \frac{1-\cos(t)}{1-\cos(t)}\).
 
Last edited:

Jameson

MHF Hall of Fame
Oct 2005
1,599
1,474
Earth
Do you see the answer? It's not too many steps ahead of the hint I gave you.