Use the Following Information to Evaluate the Expression $\cos \theta = \frac { 12 } { 13 } \quad \left( \frac { 3 \pi } { 2 } < \theta < 2 \pi \right)$

question 14

Multiple Choice

Use the following information to evaluate the expression. $\cos \theta = \frac { 12 } { 13 } \quad \left( \frac { 3 \pi } { 2 } < \theta < 2 \pi \right)$ $\tan \left( \frac { \theta } { 2 } \right) = ?$

• A) \(- \frac { \sqrt { 17 } } { 13 }\)
• B) \(\frac { \sqrt { 11 } } { 12 }\)
• C) 8/7
• D) -1/3
• E) -1/5

---

Definitions:

Legitimate Power

The authority that a person holds as a result of their position or role within an organization.

Sanctioned Authority

Authorized power or approval, often by a governing body or law, legitimizing someone or something to perform certain actions.

Coercive Power

A form of power that is based on the ability to deliver punishments or impose penalties for non-compliance or poor performance.

Expert Power

The ability to influence the behavior of others through the amount of knowledge or expertise possessed by an individual on which others depend.