Use the Fundamental Identities to Find the Value of the Trigonometric

question 193

Multiple Choice

Use the fundamental identities to find the value of the trigonometric function.
-Find $\sin \theta$ , given that $\cos \theta = \frac { 2 } { 3 }$ and $\tan \theta < 0$

• A) \(- \frac { \sqrt { 5 } } { 2 }\)
• B) \(- \sqrt { 5 }\)
• C) \(- \frac { \sqrt { 5 } } { 3 }\)
• D) \(- \frac { 3 } { 2 }\)

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Definitions:

Assimilating

The cognitive process of fitting new information into existing cognitive schemas, perceptions, and understanding.

Equilibrating

The process of balancing or maintaining equilibrium in physical systems, psychological states, or socio-economic contexts.

Attenuating

The reduction in force, value, intensity, or magnitude of something; often used in context with signals or biological responses.

Umbilical Cord

A tube between the mother and her developing child through which nutrients and waste products are conducted.