- #1
mewmew
- 114
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Express the following in the form [tex]z=Re[Ae^{i(\omega t+\alpha)}][/tex]
[tex]z=cos(\omega t - \frac{\pi}{3}) - cos (\omega t)[/tex]
and
[tex]z=sin(\omega t) - 2cos(\omega t - \frac{\pi}{4}) + cos(\omega t)[/tex]
I got a few of the problems correct by using trig. identities but it was pretty tough and two I can't get. Our teacher said you can use a tric to solve them easier but didn't have time to finish, I just know it has something to do with the polar form of [tex]e^{i \theta}[/tex] I really have no clue on how to do these without using the really long method of trig. identities. Any help would be great. Thanks
[tex]z=cos(\omega t - \frac{\pi}{3}) - cos (\omega t)[/tex]
and
[tex]z=sin(\omega t) - 2cos(\omega t - \frac{\pi}{4}) + cos(\omega t)[/tex]
I got a few of the problems correct by using trig. identities but it was pretty tough and two I can't get. Our teacher said you can use a tric to solve them easier but didn't have time to finish, I just know it has something to do with the polar form of [tex]e^{i \theta}[/tex] I really have no clue on how to do these without using the really long method of trig. identities. Any help would be great. Thanks
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