The Terminal Side Of $\theta$ Lies on the Given Line in the Specified Quadrant

question 77

Multiple Choice

The terminal side of $\theta$ lies on the given line in the specified quadrant. Find the value of the given trigonometric function of $\theta$ by finding a point on the line.
$\begin{array} { l c c } \text { Line } & \text { Quadrant } & \text { Evaluate: } \\ 11 x + 3 y = 0 & \text { II } & \csc \theta \end{array}$

• A) \(- \frac { \sqrt { 130 } } { 11 }\)
• B) \(\frac { 11 } { \sqrt { 130 } }\)
• C) \(\frac { \sqrt { 130 } } { 11 }\)
• D) \(- \frac { 11 } { \sqrt { 130 } }\)
• E) \(\frac { 11 } { 3 }\)

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Definitions:

Mental Age

A measure of a person's intellectual development relative to people of their chronological age, indicating how far they have progressed in their cognitive abilities.

Cognitive Abilities

The mental capabilities that involve the acquisition, processing, retention, and application of information, such as memory, reasoning, attention, and problem-solving.

Encoding

The process of translating sensory input into a form or format that can be stored and used by the memory system.

Metacognition

The consciousness and comprehension of an individual's own cognitive mechanisms, commonly described as "thinking about thinking."