Write the Complex Number in Trigonometric Form R(c $$r ( \cos \theta + i \sin \theta )$$

question 140

Multiple Choice

Write the complex number in trigonometric form r(c $$r ( \cos \theta + i \sin \theta )$$ ) , with $$\theta$$ in the interval [0 $$\left[ 0 ^ { \circ } , 360 ^ { \circ } \right)$$
-3

• A) \(3 \left( \cos 270 ^ { \circ } + i \sin 270 ^ { \circ } \right)\)
• B) \(3 \left( \cos 0 ^ { \circ } + i \sin 0 ^ { \circ } \right)\)
• C) \(3 \left( \cos 90 ^ { \circ } + i \sin 90 ^ { \circ } \right)\)
• D) \(3 \left( \cos 180 ^ { \circ } + i \sin 180 ^ { \circ } \right)\)

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Definitions:

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Endosymbiotic, photosynthetic dinoflagellates found in certain marine invertebrates; their mutualistic relationship with corals enhances the corals’ reef-building ability.

Peptidoglycan

A polymer consisting of sugars and amino acids that forms a mesh-like layer outside the plasma membrane of most bacteria, providing structural strength.

Chitin

A nitrogen-containing structural polysaccharide that forms the exoskeleton of insects and the cell walls of many fungi.