Use the Fundamental Identities to Simplify the Expression $\cos \theta - \cos \theta \sin ^ { 2 } \theta$

question 178

Multiple Choice

Use the fundamental identities to simplify the expression.
- $\cos \theta - \cos \theta \sin ^ { 2 } \theta$

• A) \(\sec ^ { 2 } \theta\)
• B) \(\cos ^ { 3 } \theta\)
• C) \(\tan ^ { 2 } \theta\)
• D) \(\sin \theta\)

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Definitions:

Bipolar II Disorder

A psychiatric disorder characterized by periods of depressive episodes and hypomanic episodes, without the full-blown manic episodes seen in Bipolar I Disorder.

Manic Episodes

Periods of abnormally elevated mood and energy levels, often characteristic of bipolar disorder, that can include increased activity, rapid speech, and impulsive behavior.

Unipolar Depression

A severe depressive condition characterized by unending sadness or a lack of engagement with surrounding stimuli.

Bipolar Depression

A phase of bipolar disorder characterized by depressive symptoms, including persistent sadness, hopelessness, and lack of interest in activities.