Problem with trigonometric equation

[Promilla]

cos2x=e^{|x|}
Could somebody help me?

 

[Unknown008]

Are you required to solve for x?

 

[Promilla]

yes.

 

[Unknown008]

I would suggest you make a sketch of the graphs of:

\(\displaystyle y = e^{|x|}\)

And \(\displaystyle y = \cos(2x)\)

Then use it as reference to determine which one of \(\displaystyle y=e^{-x}\) or \(\displaystyle y=e^{x}\) to get the answers.

 

[pka]

cos2x=e^{|x|}
Could somebody help me?

Hint: \(\displaystyle e^{|x|}\ge 1~.\)

 

[Promilla]

Thank you very much . I've got it. = ]