Solve the Problem $\tan \theta = \frac { 7 } { 24 }$

question 21

Multiple Choice

Solve the problem.
-If $\tan \theta = \frac { 7 } { 24 }$ , and $\theta$ terminates in quadrant III, then find $\cos 2 \theta$ .

• A) \(\frac { 527 } { 625 }\)
• B) \(- \frac { 527 } { 625 }\)
• C) \(\frac { 336 } { 625 }\)
• D) \(- \frac { 336 } { 625 }\)

---

Definitions:

Cycling

The process of repeating a set of operations or events periodically. In mechanical and electronic systems, cycling refers to the continuous repetition of processes.

On/off Control

A basic form of control system that operates by simply turning a process or device on or off in response to conditions.

On/off Control

A straightforward control technique which switches a system or device between its operational and non-operational states.

Analog Control

A method of controlling systems using continuous signals rather than digital or discrete signals.