Practice problem
Let α\alphaα be a positive real number. If z=3α+αiz = \sqrt{3}\alpha + \alpha iz=3α+αi, then what is zzz in exponential form?
2eπi62e^{\frac{\pi i}{6}}2e6πi
αeπi3\alpha e^{\frac{\pi i}{3}}αe3πi
2αeπi62\alpha e^{\frac{\pi i}{6}}2αe6πi
2αeπi32\alpha e^{\frac{\pi i}{3}}2αe3πi
αeπi6\alpha e^{\frac{\pi i}{6}}αe6πi
Type a concept, like “slope” or “photosynthesis”.
