Perform the Indicated Operation A) $17.3205 + 10.0000 \mathrm { i }$

question 372

Multiple Choice

Perform the indicated operation. Give answers in rectangular form expressing real and imaginary parts to four decimal
places.
- $\left[ 5 \left( \cos 20 ^ { \circ } + i \sin 20 ^ { \circ } \right) \right] \left[ 4 \left( \cos 10 ^ { \circ } + i \sin 10 ^ { \circ } \right) \right]$

• A) \(17.3205 + 10.0000 \mathrm { i }\)
• B) \(0.5000 + 0.8660 \mathrm { i }\)
• C) \(10.0000 + 17.3205 \mathrm { i }\)
• D) \(0.8660 + 0.5000 \mathrm { i }\)

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Definitions:

Random Experiment

An experiment or process in which all possible outcomes occur randomly with certain probabilities associated with each outcome.

Unbiased Coin

A coin for which the probability of landing on heads or tails is equal, implying fair outcomes.

Discrete Random Variable

A variable that can take on a countable number of distinct values, often representing categories or counts.

Nonnegative Probabilities

Probabilities that are greater than or equal to zero, as negative probabilities do not exist in standard probability theory.