Polar Form of Complex Number/Examples/3 cis -2 pi 3^-1/Mistake
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Source Work
1981: Murray R. Spiegel: Theory and Problems of Complex Variables (SI ed.)
- Chapter $1$: Complex Numbers
- Supplementary Problems: Polar Form of Complex Numbers: $84 \ \text {(f)}$
Mistake
- Graph each of the following and express in rectangular form.
- ... $\text {(f)} \ \ 3 e^{-2 \pi i / 3}$
- Ans. ... $\text {(f)} \ -3 \sqrt 3 / 2 - \paren {3 / 2} i$
Correction
The correct solution is:
- $-\dfrac 3 2 - \dfrac {3 \sqrt 3} 2 i$
Sources
- 1981: Murray R. Spiegel: Theory and Problems of Complex Variables (SI ed.) ... (previous) ... (next): $1$: Complex Numbers: Supplementary Problems: Polar Form of Complex Numbers: $84 \ \text {(f)}$