Write the complex number in rectangular form.
-5.62( $\left. \cos 20 ^ { \circ } + i \sin 20 ^ { \circ } \right)$
A) $- 2.2 - 0.8 \mathrm { i }$
B) $5.3 + 1.9 \mathrm { i }$
C) $1.9 + 5.3 \mathrm { i }$
D) $2.2 + 0.8 \mathrm { i }$

Question

Quizplus · Accepted Answer

The complex number in rectangular form is obtained by multiplying the magnitude (5.62) by the cosine and sine of the angle (20 degrees) for the real and imaginary parts, respectively. This results in $5.62 \cos 20^\circ + 5.62i \sin 20^\circ$, which closely matches choice B when calculated.

Write the Complex Number in Rectangular Form cos⁡20∘+isin⁡20∘)\left. \cos 20 ^ { \circ } + i \sin 20 ^ { \circ } \right)cos20∘+isin20∘)

Write the Complex Number in Rectangular Form $\left. \cos 20 ^ { \circ } + i \sin 20 ^ { \circ } \right)$