Solve the Multi-Angle Equation Below $$\sin ( 2 x ) = \frac { \sqrt { 3 } } { 2 }$$

question 4

Multiple Choice

Solve the multi-angle equation below.
$$\sin ( 2 x ) = \frac { \sqrt { 3 } } { 2 }$$

• A) \(\frac { \pi } { 8 } + n \pi , \frac { \pi } { 4 } + n \pi\), where \(n\) is an integer
• B) \(\frac { \pi } { 6 } + n \pi , \frac { \pi } { 4 } + n \pi\), where \(n\) is an integer
• C) \(\frac { \pi } { 6 } + 2 n \pi , \frac { \pi } { 3 } + 2 n \pi\), where \(n\) is an integer
• D) \(\frac { \pi } { 8 } + 2 n \pi , \frac { \pi } { 4 } + 2 n \pi\), where \(n\) is an integer
• E) \(\frac { \pi } { 6 } + n \pi , \frac { \pi } { 3 } + n \pi\), where \(n\) is an integer

---

Definitions:

Estimate

An approximation or educated guess regarding the value, quantity, or extent of something, often used for budgeting and planning processes.

High-Low Method

A way to estimate the fixed and variable components of a cost by analyzing the highest and lowest activity levels and their associated costs.

Fixed Cost

Expenses that do not change in proportion to the activity of a business, such as rent, salaries, and loan payments.

Machine Hours

A measure of the amount of time a machine is operated, used in cost accounting to allocate costs to products.