Find All Cube Roots of the Complex Number $64 \mathrm { i }$

question 256

Multiple Choice

Find all cube roots of the complex number. Leave answers in trigonometric form.
- $64 \mathrm { i }$

• A) \(1 , - 1 , - i\)
• B) \(4 \operatorname { cis } 0 ^ { \circ } , 4 \operatorname { cis } 120 ^ { \circ } , 4 \operatorname { cis } 240 ^ { \circ }\)
• C) \(4 \operatorname { cis } 30 ^ { \circ } , 4 \operatorname { cis } 150 ^ { \circ } , 4 \operatorname { cis } 270 ^ { \circ }\)
• D) \(4 \operatorname { cis } 60 ^ { \circ } , 4 \operatorname { cis } 180 ^ { \circ } , 4 \operatorname { cis } 300 ^ { \circ }\)

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Definitions:

Call Contract

An agreement giving the option buyer the right to buy a specified quantity of a security at a set price within a specific time frame.

Options Exercised

The act of implementing the right to buy (call option) or sell (put option) an underlying asset at a predetermined price before the option expires.

Horizontal Spread

An options strategy involving the purchase and sale of two options of the same type and expiration date but different strike prices.

Call

An option contract giving the owner the right, but not the obligation, to buy a specified amount of an underlying asset at a set price within a specified time.