Solve the Problem Find Zw
A) $50 \left( \cos 40 ^ { \circ } + i \sin 40 ^ { \circ } \right)$

question 174

Multiple Choice

Solve the problem. Leave your answer in polar form.
- $$\begin{array} { l } z = 10 \left( \cos 30 ^ { \circ } + i \sin 30 ^ { \circ } \right) \\w = 5 \left( \cos 10 ^ { \circ } + i \sin 10 ^ { \circ } \right) \end{array}$$
Find zw.

• A) \(50 \left( \cos 40 ^ { \circ } + i \sin 40 ^ { \circ } \right)\)
• B) \(15 \left( \cos 40 ^ { \circ } + i \sin 40 ^ { \circ } \right)\)
• C) \(15 \left( \cos 300 ^ { \circ } + i \sin 300 ^ { \circ } \right)\)
• D) \(50 \left( \cos 300 ^ { \circ } + \mathrm { i } \sin 300 ^ { \circ } \right)\)

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Definitions:

Gametophytes

The haploid phase in the life cycle of plants and algae that produces gametes, crucial for sexual reproduction.

Mosses

Non-vascular plants that typically form dense green clumps or mats in moist environments.

Liverworts

Simple, non-vascular plants that are part of the bryophyte group, often found in moist habitats.

Rhizoids

Hair-like extensions from the lower surface of bryophytes and some algae that serve as anchors and absorb water and nutrients from the soil.