- #1
imbroglio
- 5
- 0
Homework Statement
Simplify
The problem is either 1+[(cosx)/2]
or
1+[cos (x/2)]
The first one looks unworkable so I'm going with the second...unless any of you see that the first one looks normal...
Homework Equations
I derived/proved some below...
The Attempt at a Solution
1+cos(x/2)
cos^2x=2cos(x/2)-1
cos(x/2)= sqrt [(cos^2x+1)/2]
(1+sqrt [(cos^2x+1)/2])^2
[1+cos^2x+1]/2
(2+cos^2x)/2
[2+cos^2x]/2
[(1-2sin^2x)+2]/2
(1/2)-sin^2x
and now I'm obviously stuck...
Thanks for all your help!