Find the Quotient and Write in Rectangular Form $$\frac { 2 \left( \cos 120 ^ { \circ } + i \sin 120 ^ { \circ } \right) } { 4 \left( \cos 60 ^ { \circ } + i \sin 60 ^ { \circ } \right) }$$

question 300

Multiple Choice

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form.
- $$\frac { 2 \left( \cos 120 ^ { \circ } + i \sin 120 ^ { \circ } \right) } { 4 \left( \cos 60 ^ { \circ } + i \sin 60 ^ { \circ } \right) }$$

• A) \(\frac { 1 } { 4 } - \frac { 1 } { 4 } \mathrm { i } \sqrt { 3 }\)
• B) \(\frac { 1 } { 4 } + \frac { 1 } { 4 } \mathrm { i } \sqrt { 3 }\)
• C) \(\frac { 1 } { 2 } \sqrt { 3 } - \frac { 1 } { 4 } \mathrm { i }\)
• D) \(\frac { 1 } { 2 } \sqrt { 3 } + \frac { 1 } { 4 } \mathrm { i }\)

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