One of Sin X, Cos X, and Tan X Is $$\cos x = - \frac { \sqrt { 2 } } { 2 } , \quad x \text { in } \left[ - \frac { 3 \pi } { 2 } , - \pi \right]$$

question 161

Multiple Choice

One of sin x, cos x, and tan x is given. Find the other two if x lies in the specified interval.
- $$\cos x = - \frac { \sqrt { 2 } } { 2 } , \quad x \text { in } \left[ - \frac { 3 \pi } { 2 } , - \pi \right]$$

• A) \(\sin x = - \frac { \sqrt { 2 } } { 2 } , \tan x = 1\)
• B) \(\sin x = \frac { \sqrt { 2 } } { 2 } , \tan x = 1\)
• C) \(\sin x = - \frac { \sqrt { 2 } } { 2 } , \tan x = - 1\)
• D) \(\sin x = \frac { \sqrt { 2 } } { 2 } , \tan x = - 1\)

---

Definitions:

Multifaceted

Refers to something having many aspects or sides.

Unpredictable

The characteristic of being impossible to foresee or predict with certainty due to variable or unknown factors.

Organizational Behavior

The study of how people interact within groups in a workplace setting, primarily focused on improving organizational efficiency, effectiveness, and employee well-being.

Motivations

The reasons or driving forces behind an individual's actions, desires, and needs.