a. [tex]2[cos(135) + isin(135)][/tex]
[tex]2[cos(135)] + 2[isin(135)][/tex]
[tex]2cos(135) + 2isin(135)[/tex]
[tex]2(-\frac{\sqrt{2}}{2}) + 2i(\frac{\sqrt{2}}{2})[/tex]
[tex]-\frac{2\sqrt{2}}{2} + \frac{2\sqrt{2}}{2}i[/tex]
[tex]-\sqrt{2} + i\sqrt{2}[/tex]
b. [tex]3[cos(120) + isin(120)][/tex]
[tex]3[cos(120)] + 3[isin(120)][/tex]
[tex]3cos(120) + 3isin(120)[/tex]
[tex]3(-\frac{1}{2}) + 3i(\frac{\sqrt{3}}{2})[/tex]
[tex]-1\frac{1}{2} + \frac{9i\sqrt{3}}{2}[/tex]
[tex]-1\frac{1}{2} + 4\frac{1}{2}i\sqrt{3}[/tex]
c. [tex]5[cos(\frac{5\pi}{4} + isin(\frac{5\pi}{4})][/tex]
[tex]5[cos(\frac{5\pi}{4})] + 5[isin(\frac{5\pi}{4})][/tex]
[tex]5cos(\frac{5\pi}{4}) + 5isin(\frac{5\pi}{4})[/tex]
[tex]5(-\frac{\sqrt{2}}{2}) + 5i(-\frac{\sqrt{2}}{2})[/tex]
[tex]-\frac{5\sqrt{2}}{2} - \frac{5i\sqrt{2}}{2}[/tex]
[tex]-2\frac{1}{2}\sqrt{2} - 2\frac{1}{2}i\sqrt{2}[/tex]
d. [tex]4[cos(\frac{5\pi}{3} + isin(\frac{5\pi}{3})][/tex]
[tex]4[cos(\frac{5\pi}{3})] + 4[isin(\frac{5\pi}{3})][/tex]
[tex]4cos(\frac{5\pi}{3}) + 4isin(\frac{5\pi}{3})[/tex]
[tex]4(\frac{1}{2}) + 4i(-\frac{\sqrt{3}}{2})[/tex]
[tex]2 - \frac{4i\sqrt{3}}{2}[/tex]
[tex]2 - 2i\sqrt{3}[/tex]
