# trig identity verifying need help

• Apr 26th 2013, 10:43 AM
thegurn
trig identity verifying need help
cscx=(cot(x/2))/(1-cosx)
• Apr 26th 2013, 06:24 PM
chiro
Re: trig identity verifying need help
Hey thegurn.

Hint: What are the identities for tan(x/2) in terms of sine and cosine?
• Apr 26th 2013, 06:40 PM
becauseifeellikeit
Re: trig identity verifying need help
The best way to start is to write all the identities of sin and cosin, simplify, and then consider what identities you might need.
• Apr 26th 2013, 08:38 PM
sa-ri-ga-ma
Re: trig identity verifying need help
Quote:

Originally Posted by thegurn
cscx=(cot(x/2))/(1-cosx)

Check the problem. There must be some misprint.
• Apr 28th 2013, 11:02 AM
thegurn
Re: trig identity verifying need help
so there's no way to solve it as is?
• Apr 28th 2013, 06:35 PM
sa-ri-ga-ma
Re: trig identity verifying need help
The identity is true when the problem is
cscx = cot(x/2)/(1+cosx)
• Apr 28th 2013, 07:58 PM
ibdutt
Re: trig identity verifying need help
The identity is cscx = ( cot (x/2))/(1+cosx) = ( cos (x/2)/ sin ( x/2))/ [2 cos^2 ( x/2) ] [ Because cos 2a = 2cos^2A-1]
Which on simplification gives cscx