Solve the Problem $\cos \theta = - \frac { 5 } { 13 }$

question 326

Multiple Choice

Solve the problem.
-If $\cos \theta = - \frac { 5 } { 13 }$ , and $\frac { \pi } { 2 } < \theta < \pi$ , then find $\tan 2 \theta$ .

• A) \(\frac { 120 } { 119 }\)
• B) \(\frac { 169 } { 119 }\)
• C) \(\frac { 169 } { 120 }\)
• D) \(\frac { 119 } { 120 }\)

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Definitions:

Constructive Play

A form of play that involves manipulating elements of the play environment to create things, promoting problem-solving skills, creativity, and coordination.

Functional Play

A type of play observed in children where activities are focused on using objects the way they are meant to be used, developing their understanding and skills.

Formal Games

Structured forms of play, often with established rules and competition, such as board games, card games, or sports.

Symbolic Play

A play pattern where children use objects, actions, or ideas to represent other objects, actions, or ideas, showing the development of abstract thinking.