Find the Product A) $24 \mathrm { i }$ B) $12 \sqrt { 3 } + 12 \mathrm { i }$

question 367

Multiple Choice

Find the product. Write the product in rectangular form, using exact values.
- $\left[ 4 \left( \cos 120 ^ { \circ } + i \sin 120 ^ { \circ } \right) \right] \left[ 6 \left( \cos 330 ^ { \circ } + i \sin 330 ^ { \circ } \right) \right]$

• A) \(24 \mathrm { i }\)
• B) \(12 \sqrt { 3 } + 12 \mathrm { i }\)
• C) \(- 12 + 12 \sqrt { 3 } \mathrm { i }\)
• D) 24

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Definitions:

Zero-Coupon Bonds

Bonds issued at a discount to their face value, paying no periodic interest but redeemed at par value at maturity.

Par Value

The face value of a bond or stock, as stated by the issuing company.

Life Insurers

Companies that provide policies to individuals that pay beneficiaries upon the policyholder’s death, or provide coverage for other life-related risks.

Pension Funds

Investment pools that collect and invest funds contributed by employers and employees for retirement benefits.