# Expressing a complex number as an Exponent

1. Sep 18, 2011

### elsamp123

1. The problem statement, all variables and given/known data
Express as z = Re[Ae^(i($\varpi$ t+ $\alpha$)]
1. z = cos($\varpi$ t - $\pi$/3) - cos ($\varpi$t)

2. z= 2sin($\varpi$ t) + 3 cos ($\varpi$ t)

3. sin($\varpi$ t ) - 2 cos ($\varpi$ t - $\pi$/4) + cos ($\varpi$ t)

2. Relevant equations
I used cos A + cos B; A = (a2+b2)(1/2); and tan($\theta$) = y/x

3. The attempt at a solution
I read the other doubt regarding nearly the same questions, and as much as i tried to figure it out, i couldnt understand how to separate the parts and arrive at the same answer as the textbook requires. Could you please show me in a few more steps. thank u

2. Sep 20, 2011

### issacnewton

3. Oct 24, 2011

### elsamp123

Thanks a ton.. Sorry for the late reply, i finally was able to figure it out whew!