Question

Solve for x
2cos^2 (1/2 x) - 2 = 2 cosx

Answer 1

this equation \[2\cos^2 (\frac{ 1 }{ 2x }) - 2 = 2 cosx\]

Answer 2

its x/2

Answer 3

Use half-angle identity: cos^2(a)=1/2[1+cos(2a)]

Rearrange into: 2cos^2(a)-1=cos(2a)

where a =x/2

Should work...

Answer 4

Let me try it :)

Answer 5

I'm kind of confused on how you got the 1/2[1+cos(2a)] part. I know you substituted 2a for x but idk how you got the 1/2

Answer 6

that is the formula

Answer 7

Oh, yea xD

Answer 8

You are asked to solve for x? Because the solution is cyclic. Basically your question is the half-angle identity and anything in the range: 0 < x < pi over 2 will satisfy it.

Answer 9

I'm only happy with a whole pie though. ;)

Answer 10

mmmmmm cherry

Answer 11

do this