Use the Given Values to Evaluate (If Possible) Three Trigonometric $$\sin x = \frac { 1 } { 5 }$$

question 193

Multiple Choice

Use the given values to evaluate (if possible) three trigonometric functions cos x, csc x, tan x.
$$\sin x = \frac { 1 } { 5 }$$ , $$\cos x > 0$$

• A) \(\begin{array} { l }
• \cos x = - \frac { 2 \sqrt { 6 } } { 5 } \\
• \csc x = 5 \\
• \tan x = \frac { \sqrt { 6 } } { 12 }
• \end{array}\)
• B) \(\begin{array} { l }
• \cos x = \frac { 2 \sqrt { 6 } } { 5 } \\
• \csc x = 5 \\
• \tan x = - \frac { \sqrt { 6 } } { 12 }
• \end{array}\)
• C) \(\begin{array} { l }
• \cos x = - \frac { 2 \sqrt { 6 } } { 5 } \\
• \csc x = - 5 \\
• \tan x = - \frac { \sqrt { 6 } } { 12 }
• \end{array}\)
• D) \(\begin{array} { l }
• \cos x = \frac { 2 \sqrt { 6 } } { 5 } \\
• \csc x = 5 \\
• \tan x = \frac { \sqrt { 6 } } { 12 }
• \end{array}\)
• E) \(\begin{array} { l }
• \cos x = \frac { 2 \sqrt { 6 } } { 5 } \\
• \csc x = \frac { 1 } { 5 } \\
• \tan x = \frac { \sqrt { 6 } } { 12 }
• \end{array}\)

---

Definitions:

Key Concepts

Fundamental ideas or principles that are central to understanding a particular field or domain of knowledge.

Naturalistic-Observation Studies

Research methods where subjects are observed in their natural habitat without any manipulation by the observer.

Case-Study Method

A research approach that involves an in-depth investigation of a single subject or group to explore an underlying principle or theory.

Ethical Considerations

Principles and standards that guide behavior in conducting activities, ensuring respect for individuals and societal norms.