Solve the Following Equation $4 \sin ^ { 2 } x = 12 \cos ^ { 2 } x$

question 21

Multiple Choice

Solve the following equation.
$4 \sin ^ { 2 } x = 12 \cos ^ { 2 } x$

• A) \(\frac { 2 \pi } { 3 } + n \pi , \frac { 2 \pi } { 3 } + n \pi\)
• B) \(\frac { \pi } { 3 } + n \pi , \frac { 2 \pi } { 3 } + n \pi\)
• C) \(\frac { \pi } { 3 } + n \pi , \frac { \pi } { 3 } + n \pi\)
• D) \(\frac { 4 \pi } { 3 } + n \pi , \frac { 2 \pi } { 3 } + n \pi\)
• E) \(\frac { \pi } { 2 } + n \pi , \frac { 2 \pi } { 5 } + n \pi\)

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Definitions:

Nonlabor Income

Income received from sources other than employment, such as investments, pensions, or inheritance, which influences consumer behavior and economic decisions.

Nonlabor Income

Earnings derived from sources other than direct employment, including investments, interest, and property income.

Wage Rate

The fixed amount of compensation or payment made to an employee by an employer in return for work performed, typically expressed on an hourly, daily, or piecework basis.

Labor

The exertion of human energy, both bodily and cognitive, employed in generating goods and services.