Solve the Equation (X in Radians and in Degrees) for All

question 14

Multiple Choice

Solve the equation (x in radians and in degrees) for all exact solutions where appropriate. Round approximate answers
in radians to four decimal places and approximate answers in degrees to the nearest tenth.
- $4 \sin ^ { 2 } x - 1 = 0$

• A) \(\left\{ \frac { \pi } { 6 } + n \pi , \frac { 5 \pi } { 6 } + n \pi \right\}\)
• B) \(\left\{ \frac { \pi } { 3 } + n \pi \right\}\)
• C) \(\left\{ \frac { \pi } { 6 } + n \pi , \frac { \pi } { 2 } + 2 n \pi \right\}\)
• D) \(\left\{ \frac { \pi } { 3 } + n \pi , \frac { 5 \pi } { 6 } + n \pi \right\}\)

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Definitions:

Stepper Motor

An electric motor that moves in discrete steps, allowing precise control of position and speed.

Electrical Pulses

Rapid, transient changes in the electrical potential or voltage, often used as signals in various devices.

Tachometer

An instrument used to measure the rotation speed of a shaft or disk, as in a motor or other machine.