Solve the Equation on the Interval $$0 \leq \theta < 2 \pi$$

question 339

Multiple Choice

Solve the equation on the interval $$0 \leq \theta < 2 \pi$$
- $$\sin ( 4 \theta ) = \frac { \sqrt { 3 } } { 2 }$$

• A) \(\frac { \pi } { 12 } , \frac { \pi } { 6 } , \frac { 2 \pi } { 3 } , \frac { 7 \pi } { 12 } , \frac { 7 \pi } { 6 } , \frac { 13 \pi } { 12 } , \frac { 5 \pi } { 3 } , \frac { 19 \pi } { 12 }\)
• B) 0
• C) \(0 , \frac { \pi } { 4 } , \pi\)
• D) \(\frac { \pi } { 4 } , \frac { 5 \pi } { 4 }\)

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Definitions:

Neuron

The fundamental unit of the nervous system, responsible for transmitting information through electrical and chemical signals.

Nervous System

The complex network of nerve cells and fibers that transmits nerve impulses between parts of the body, overseeing both voluntary actions and involuntary responses.

Axon

A nerve fiber that conducts electrical impulses away from the neuron's cell body, facilitating communication with other neurons or muscles.

Myelin Sheath

A fatty layer that surrounds nerve fibers, aiding in the rapid transmission of electrical signals.