Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and the Yahoo Answers website is now in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
Help converting complex numbers to polar and exponential form?
Find polar and exponential forms of the following complex numbers:
a) sin(2pi/5)+icos(2pi/5)
b) cos(2pi/5)-isin(2pi/5)
Any help would be greatly appreciated!
2 Answers
- ?Lv 76 years agoFavorite Answer
To convert to polar form you want
cos θ +i sin θ
a) sin(2pi/5)+icos(2pi/5)
cos(pi/2-t)=sin(t)
sin(pi/2-t)=cos(t)
sin(2pi/5)=cos(pi/2-2pi/5)=cos(pi/10)
cos(2pi/5)=sin(pi/2-2pi/5)=sin(pi/10)
cos(pi/10) + isin(pi/10)
r=1, θ=pi/10
e^(i pi/10)
e^(-it)=cos(t) - i sin(t)
b) cos(2pi/5)-isin(2pi/5)
r=1, θ=-2pi/5
e^(-i 2pi/5)
