AoPSWiki
Want to learn how to tackle those tough AMC/AIME/Olympiad algebra problems? Check out Art of Problem Solving's Intermediate Algebra by Richard Rusczyk and Mathew Crawford. Over 1600 problems!

Polar form

From AoPSWiki

Polar form for complex numbers

The polar form for complex numbers allows us to graph complex numbers given an angle \theta and a radius or magnitude r.

For z\in\mathbb{C}, we can write z=r\cdot\mathrm{cis }(\theta)=r(\cos \theta+i\sin\theta). (See cis if you do not understand this notation.) This represents a complex number z that is r units away from the origin, and \theta radians counterclockwise from the positive half of the x-axis.

See also

Want to learn how to tackle those tough AMC/AIME/Olympiad counting and probability problems? Check out Art of Problem Solving's Intermediate Counting & Probability by David Patrick.
© Copyright 2008 AoPS Incorporated. All Rights Reserved. • FoundationPrivacyContact Us