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) \(\left( \frac { \pi } { 3 } , \frac { 1 } { 2 } \right) , \left( \frac { 2 \pi } { 3 } , \frac { 1 } { 2 } \right)\)

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Definitions:

Axes

Refers to the plural of axis, which are imaginary lines around which an object rotates or is symmetrically arranged.

DSM-IV-TR

The fourth edition, text revision, of the Diagnostic and Statistical Manual of Mental Disorders, a guideline for diagnosing mental disorders.

Psychological Disorders

Mental disorders characterized by patterns of behavior or thought that are significantly distressed or disabled, which are not considered part of normal development in a person's culture.

Diagnose

The process of identifying a disease or condition from its signs and symptoms through examination, tests, and other medical procedures.