Solve the Problem $y = \sin x , 0 \leq x \leq 2 \pi$

question 38

Multiple Choice

Solve the problem.
-Find all points on the curve $y = \sin x , 0 \leq x \leq 2 \pi$ , where the tangent line is parallel to the line $y = \frac { 1 } { 2 } x$ .

• A) \(\left( \frac { \pi } { 3 } , \frac { \sqrt { 3 } } { 2 } \right) , \left( \frac { 5 \pi } { 3 } , - \frac { \sqrt { 3 } } { 2 } \right)\)
• B) \(\left( \frac { \pi } { 6 } , \frac { 1 } { 2 } \right) , \left( \frac { 11 \pi } { 6 } , - \frac { 1 } { 2 } \right)\)
• C) \(\left( \frac { \pi } { 3 } , \frac { \sqrt { 3 } } { 2 } \right) , \left( \frac { 2 \pi } { 3 } , \frac { \sqrt { 3 } } { 2 } \right)\)
• D) \(\left( \frac { \pi } { 3 } , \frac { 1 } { 2 } \right) , \left( \frac { 2 \pi } { 3 } , \frac { 1 } { 2 } \right)\)

---

Definitions:

Substantially More Burdensome

A term referring to contract modifications or conditions that significantly increase the obligations of one party beyond what was initially agreed upon.

Cultivated Bottomland

Land located in a valley or low-lying area that has been improved for agricultural production through human effort.

County AgriCredit

This term may refer to a specific or generic financial program or service offered at the county level targeting the agricultural sector, providing loans, credit, or financial assistance to farmers or agribusinesses. However, without more context, it is challenging to provide a precise definition.

Conditional

Depending on the fulfillment of certain conditions or circumstances, often used in contracts or agreements to signify contingent obligations.