Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places. $$5 \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)$$
A)4.3301 + 2.5i
B)2.5 + 4.3301i
C)2.5 - 4.3301i
D)4.3301 - 2.5i
E)None of the above

Question

Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places.​ $$5 \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)$$ ​
A)4.3301 + 2.5i
B)2.5 + 4.3301i
C)2.5 - 4.3301i
D)4.3301 - 2.5i
E)None of the above

Quizplus · Accepted Answer

Using the graphing utility, we can plot the point (4.3301, 2.5) in the complex plane to represent the complex number. However, we must remember that the vertical axis represents the imaginary part of the number, so the plotted point will have a larger imaginary component than real component. The point (2.5, 4.3301) would represent the conjugate of the given complex number, so the correct choice is B, as it matches the given number in terms of its real and imaginary parts.

Use a Graphing Utility to Represent the Complex Number in Standard