Find All Solutions to the Equation $\sin x = \frac { \sqrt { 3 } } { 2 } \quad$

question 260

Multiple Choice

Find all solutions to the equation.
- $\sin x = \frac { \sqrt { 3 } } { 2 } \quad$ (Express your answer in radians, in exact form.)

• A) \(\left\{ \frac { \pi } { 3 } + 2 \mathrm { n } \pi , \frac { 5 \pi } { 3 } + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots \right\}\)
• B) \(\left\{ \frac { \pi } { 3 } + n \pi \quad \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots \right\}\)
• C) \(\left\{ \frac { \pi } { 6 } + 2 \mathrm { n } \pi , \frac { 5 \pi } { 6 } + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots \right\}\)
• D) \(\left\{ \frac { \pi } { 3 } + 2 \mathrm { n } \pi , \frac { 2 \pi } { 3 } + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots \right\}\)

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Definitions:

Marginal Product

The additional output that is produced by adding one more unit of a specific input while holding all other inputs constant.

Market Wage

The prevailing wage rate paid for a specific job in the labor market, determined by the supply and demand for that type of labor.

Market Price

The going rate at which an asset or service can be acquired or disposed of in a certain market.

Marginal Product

The additional output gained by employing one more unit of a specific input, holding all other inputs constant.