Find the Quotient and Write in Rectangular Form $\frac { 8 ( \cos 90 + i \sin 90 ) } { 3 ( \cos 30 + i \sin 30 ) }$

question 420

Multiple Choice

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form.
- $\frac { 8 ( \cos 90 + i \sin 90 ) } { 3 ( \cos 30 + i \sin 30 ) }$

• A) \(8 + 8 \sqrt { 3 } \mathrm { i }\)
• B) \(\frac { 4 } { 3 } + \frac { 4 \sqrt { 3 } } { 3 } \mathrm { i }\)
• C) \(\frac { 5 } { 2 } + \frac { 5 \sqrt { 3 } } { 2 } \mathrm { i }\)
• D) \(1 + \sqrt { 3 } \mathrm { i }\)

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