Find All Solutions of the Following Equation in the Interval $\sin ^ { 3 } x = \sin x$

question 32

Multiple Choice

Find all solutions of the following equation in the interval [0,2π) .​ $\sin ^ { 3 } x = \sin x$ ​

• A) \(x = 0 , \frac { \pi } { 6 } , \frac { 7 \pi } { 6 }\)
• B) \(x = 0 , \frac { \pi } { 4 } , \frac { 7 \pi } { 4 }\)
• C) \(x = 0 , \frac { \pi } { 2 } , \frac { 3 \pi } { 2 }\)
• D) \(x = 0 , \pi\)
• E) \(x = 0 , \frac { \pi } { 2 } , \pi , \frac { 3 \pi } { 2 }\)

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Definitions:

Actual Machine-Hours

The actual number of hours that machines are run during a production period.

Variable Manufacturing Overhead

Refers to the production costs that change in proportion to the level of production activity, such as utilities or raw materials needed for manufacturing.

Machine-Hours

A measure of the amount of time a machine is operated in the production process, often used in costing and budgeting.

Predetermined Overhead Rate

A rate calculated before an accounting period begins, used to allocate manufacturing overhead to individual jobs or units based on a consistent measure, such as direct labor hours.