Divide the Complex Numbers Below and Leave the Result in Trigonometric

question 217

Multiple Choice

Divide the complex numbers below and leave the result in trigonometric form. $\frac { 10 \left( \cos 220 ^ { \circ } + i \sin 220 ^ { \circ } \right) } { 7 \left( \cos 210 ^ { \circ } + i \sin 210 ^ { \circ } \right) }$

• A) \(70 \left( \cos 10 ^ { \circ } + i \sin 10 ^ { \circ } \right)\)
• B) \(\frac { 10 } { 7 } \left( \cos 10 ^ { \circ } + i \sin 70 ^ { \circ } \right)\)
• C) \(\frac { 10 } { 7 } \left( \cos 70 ^ { \circ } + i \sin 70 ^ { \circ } \right)\)
• D) \(\frac { 10 } { 7 } \left( \cos 10 ^ { \circ } + i \sin 10 ^ { \circ } \right)\)
• E) \(70 \left( \cos 70 ^ { \circ } + i \sin 70 ^ { \circ } \right)\)

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Definitions:

Ratio

A mathematical term defining the quantitative relationship between two numbers, showing how many times one value contains or is contained by the other.

Linear Perspective

A technique in art and photography that creates the illusion of depth on a flat surface, using converging lines to depict objects more distant as smaller.

Aerial Perspective

A technique in art and photography that uses the way atmosphere affects human perception of distance to create a sense of depth.

Motion Parallax

Motion Parallax is an optical illusion where objects closer to the observer appear to move faster than objects further away when the observer moves their head or body side-to-side.