Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places. $$9 \left( \cos 62 ^ { \circ } + i \sin 62 ^ { \circ } \right)$$
A)7.9465 + 4.2252i
B)4.2252 + 7.9465i
C)4.2252 - 7.9465i
D)7.9465 - 4.2252i
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.​ $$9 \left( \cos 62 ^ { \circ } + i \sin 62 ^ { \circ } \right)$$ ​
A)7.9465 + 4.2252i
B)4.2252 + 7.9465i
C)4.2252 - 7.9465i
D)7.9465 - 4.2252i
E)None of the above

Quizplus · Accepted Answer

To convert the given complex number in polar form to standard form (a + bi), we use the formulas $a = r\cos(\theta)$ and $b = r\sin(\theta)$, where $r = 9$ and $\theta = 62^\circ$. Calculating these gives $a = 9\cos(62^\circ) \approx 4.2252$ and $b = 9\sin(62^\circ) \approx 7.9465$, making the standard form $4.2252 + 7.9465i$.

Use a Graphing Utility to Represent the Complex Number in Standard