Use Identities to Find the Indicated Value for Each Angle $\cos \theta = - \frac { 5 } { 13 } , \frac { \pi } { 2 } < \theta < \pi \quad$

question 444

Multiple Choice

Use identities to find the indicated value for each angle measure.
- $\cos \theta = - \frac { 5 } { 13 } , \frac { \pi } { 2 } < \theta < \pi \quad$ Find $\cos ( 2 \theta )$

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

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Definitions:

Genetic Factors

The hereditary elements and genes passed from parents to their offspring that influence various aspects of physical and mental characteristics.

Formal Operational

A stage in Piaget's cognitive development theory occurring from age 12 onwards, where individuals develop the ability to think abstractly and logically.

Cognitive Development

The process of growth and change in intellectual capabilities, influencing how one perceives, thinks, and understands the world.

Piaget

A Swiss developmental psychologist and philosopher known for his pioneering work in child development, particularly his theory of cognitive development that describes how children's minds evolve through stages.