Find the Quotient and Write in Rectangular Form A) $\frac { \sqrt { 2 } } { 2 } + \frac { \sqrt { 2 } } { 2 } \mathrm { i }$

question 32

Multiple Choice

Find the quotient and write in rectangular form. First convert the numerator and denominator to trigonometric form.
- $\frac { \sqrt { 3 } \left( \cos \frac { 7 \pi } { 4 } + i \sin \frac { 7 \pi } { 4 } \right) } { \sqrt { 6 } \left( \cos \frac { 9 \pi } { 4 } + i \sin \frac { 9 \pi } { 4 } \right) }$

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

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Definitions:

Angiosperm Seed

The reproductive unit of flowering plants, consisting of an embryo, nutritive tissue, and a protective outer coat.

Endosperm

A tissue in seed plants formed by the union of a sperm with two polar nuclei during fertilization, providing nutrition to the developing embryo.

Seed Coat

The outer protective layer of a seed that shields the embryonic plant from damage and disease.

Protective Coating

A layer or cover applied to objects or materials to shield them from harm, such as corrosion, weathering, or physical damage.