# Help verifying trig identities

• May 4th 2011, 10:18 AM
sam1219
Help verifying trig identities
I'm having a little bit of trouble verifying 2 trig identities. One of these may not even be an identity but I don't know which one since I'm having trouble with both.
The first one is:

sin(x+y)/sin(x-y) = 1-tanxtany/1+tanxtany

And the second one is:

(sinx/1-cotx) - (cosx/tanx-1) = sinx+cosx

I get to a certain point on both of these and can't figure out where to go from there, any help in how to verify these would be GREATLY appreciated!!

Thanks!
• May 4th 2011, 10:24 AM
abhishekkgp
Quote:

Originally Posted by sam1219
I'm having a little bit of trouble verifying 2 trig identities. One of these may not even be an identity but I don't know which one since I'm having trouble with both.
The first one is:

sin(x+y)/sin(x-y) = 1-tanxtany/1+tanxtany

This is wrong. you should take reciprocal of the RHS to fix this one

And the second one is:

(sinx/1-cotx) - (cosx/tanx-1) = sinx+cosx
please bracket it properly so that i can give you a definitive answer.

I get to a certain point on both of these and can't figure out where to go from there, any help in how to verify these would be GREATLY appreciated!!

Thanks!

did this help?
• May 4th 2011, 11:53 AM
sam1219
So are you saying the first one is not an identity? That is the problem that was given to me and I'm asked to verify it, so by wrong do you mean it's not an identity?

and I'm not sure how you want me to bracket the second one properly, but here's another try at what it looks like

Sinx - cosx = sinx + cosx
1-cotx tanx-1
• May 4th 2011, 01:07 PM
Soroban
• May 4th 2011, 06:27 PM
sam1219
Thank you so much! You are awesome!!