Write the Complex Number in Rectangular Form $$8 \left( \cos \frac { \pi } { 6 } + i \sin \frac { \pi } { 6 } \right)$$

question 8

Multiple Choice

Write the complex number in rectangular form.
- $$8 \left( \cos \frac { \pi } { 6 } + i \sin \frac { \pi } { 6 } \right)$$

• A) \(4 + 4 \sqrt { 3 } \mathrm { i }\)
• B) \(\frac { 1 } { 4 } + \frac { \sqrt { 3 } } { 4 } \mathrm { i }\)
• C) \(4 \sqrt { 3 } + 4 i\)
• D) \(\frac { \sqrt { 3 } } { 4 } + \frac { 1 } { 4 } \mathrm { i }\)

---

Definitions:

Compression

The process of reducing the volume of a material by applying pressure, or in geology, the stress state in which rock is pressed together, increasing its density.

Tension

A force that stretches material or causes it to be pulled apart.

Columnar Joints

Vertically oriented, hexagonal columns of rock that form as a result of the cooling and contraction of volcanic or igneous rocks.

Internal Strain

The deformation within a material or body due to applied stress or pressure.