Solve the Following Equation $12 \sec ^ { 2 } x - 16 = 0$

question 97

Multiple Choice

Solve the following equation. $12 \sec ^ { 2 } x - 16 = 0$

• A) \(\frac { 3 \pi } { 2 } + 2 \pi , \frac { 3 \pi } { 2 } + 2 \pi\)
• B) \(\frac { 7 \pi } { 2 } + 2 \pi , \frac { 3 \pi } { 2 } + 2 \pi\)
• C) \(\frac { 5 \pi } { 2 } + 2 \pi , \frac { 5 \pi } { 2 } + 2 \pi\)
• D) \(\frac { \pi } { 6 } + n \pi , \frac { 5 \pi } { 6 } + n \pi\)
• E) \(\frac { \pi } { 2 } + 2 \pi , \frac { 3 \pi } { 2 } + 2 \pi\)

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Definitions:

Crime Rate

The number of crimes reported in a given area over a specific period of time, usually standardized per 100,000 people.

Number of Crimes

The total count of criminal acts reported or recorded in a specific area or during a certain period.

Slope

The measure of the steepness or incline of a line on a graph, representing the rate of change.

Vertical Axis

The y-axis on a graph that is typically used to display the variable being measured or manipulated.