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

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Definitions:

Distance Themselves

An action or behavior in which individuals or entities create emotional or physical space from others or certain ideas to avoid association or involvement.

Pilot Study

A small-scale preliminary study conducted to evaluate feasibility, time, cost, risk, and adverse effects before proceeding to a full-scale research project.

Surveying

The process of gathering data or information about a population or area, often through questionnaires or observational methods.

Interviewing

A method of collecting data in qualitative research where questions are posed to participants to gather information on a specific topic.