Expressing a complex number as an Exponent

AI Thread Summary
The discussion focuses on expressing complex numbers in exponential form using Euler's formula. Participants seek clarification on how to separate components of given equations to match textbook solutions. Specific examples provided include expressions involving cosine and sine functions. A suggestion to utilize Euler's formula is made to aid in the conversion process. Ultimately, the original poster successfully resolves their confusion after further exploration.
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Homework Statement


Express as z = Re[Ae^(i(\varpi t+ \alpha)]
1. z = cos(\varpi t - \pi/3) - cos (\varpit)

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

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

Homework Equations


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

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 couldn't 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
 
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Thanks a ton.. Sorry for the late reply, i finally was able to figure it out whew!
 
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