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