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QUESTION: Hello, my name is Leo and I am studying for my ACTs and have come across a very hard problem that I'm having trouble solving. I am hoping you could go through it and show step-by-step how you got your answer.

I am asked to verify this identity:

((cos a - cos b) / (sin a + sin b)) + ((sin a - sin b) / (cos a + cos b))

ANSWER: That isn't an identity—it is not an equation. Is it typed correctly?

---------- FOLLOW-UP ----------

QUESTION: My apologies, I did make a mistake in typing it; that is all supposed to be set to "= 0"

To make things a bit more clear, I drew up an image of the problem:

http://prntscr.com/2ixaj4

Thanks for taking the time to get back to me, this should help and make things easier for you. Leo

Leo,

Thanks for clearing that up.

The solution is to give the fractions a common denominator, then apply the Pythagorean Identities

sin˛α + cos˛α = 1

sin˛β + cos˛β = 1

http://www.flickr.com/photos/dwread/11928560344/

Janet

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