Need help with a trigonometric expression

[Adgorn]

Homework Statement

Just a simple problem, I need to take the expression$\frac 1 2 (sin(2x)+1)$ and show it is equivalent to $sin^2(x+\frac \pi 4)$, and I can't seem to manage to find the way to do so, so I would appreciate some insight.

Homework Equations

N/A

The Attempt at a Solution

Effectively messing around with the trigonometric identities to no avail.

 

[BvU]

You will need some relevant equations... N/A doesn't get you any further

And 'dunno' doesn't qualify as an attempt at solution.

 

[BvU]

I do intend to help you with this really very simple problem, but I have to adhere to the rules (see PF guidelines ).
For starters: what do you get when you write out both in terms of $\ \sin x\$ and $\ \cos x \$ ?

 

[Adgorn]

I guess I needed to write some identities there, sorry.
Following your comment I used sin (a + b) = sin a.cos b + sin b.cos a and got the wanted expression, thanks for the help.

 

[scottdave]

Glad you figured it out. You may find this Trig Identity reference, useful. http://www.mathwords.com/t/trig_identities.htm