Find Products of Complex Numbers in Polar Form
- $$\begin{array} { l } \mathrm { z } 1 = 2 + 2 \mathrm { i } \\\mathrm { z } 2 = \sqrt { 3 } - \mathrm { i }\end{array}$$

question 262

Multiple Choice

Find Products of Complex Numbers in Polar Form
- $$\begin{array} { l } \mathrm { z } 1 = 2 + 2 \mathrm { i } \\\mathrm { z } 2 = \sqrt { 3 } - \mathrm { i }\end{array}$$

• A) \(4 \sqrt { 2 } \left( \cos \frac { \pi } { 12 } + i \sin \frac { \pi } { 12 } \right)\)
• B) \(4 \sqrt { 2 } \left( \cos \frac { 23 \pi } { 12 } + i \sin \frac { 23 \pi } { 12 } \right)\)
• C) \(4 \left( \cos \frac { \pi } { 12 } + i \sin \frac { \pi } { 12 } \right)\)
• D) \(4 \left( \cos \frac { 23 \pi } { 12 } + i \sin \frac { 23 \pi } { 12 } \right)\)

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Definitions:

Coupon Rate

The annual interest rate paid by a bond issuer to the bondholders, typically expressed as a percentage of the bond's face value.

Yield To Maturity

The total return anticipated on a bond if the bond is held until its maturity date, taking into account its current market price, face value, interest rate, and time to maturity.

Semi-Annually

Occurring or conducted twice a year.

Face Value

The nominal or dollar value printed on a bond, stock, or other financial instrument, representing the amount due at maturity.