Show That the Equation Is Not an Identity by Finding $\cos x - \cos x \sin x = \cos ^ { 3 } x$

question 135

Multiple Choice

Show that the equation is not an identity by finding a value of x for which both sides are defined but not equal.
- $\cos x - \cos x \sin x = \cos ^ { 3 } x$

• A) \(\frac { \pi } { 4 }\)
• B) \(\frac { \pi } { 2 }\)
• C) \(\pi\)
• D) 0

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Definitions:

Parasympathetic Division

Part of the autonomic nervous system responsible for rest and digestion functions, decreasing heart rate, and increasing intestinal activity.

Preganglionic Neurons

are neurons originating in the central nervous system that extend to autonomic ganglia, communicating signals to postganglionic neurons outside the central nervous system.

Pelvic Splanchnic Nerves

Nerves that arise from the sacral spinal cord, innervating the lower abdomen, pelvis, and contributing to the function of urinary and reproductive organs.

Parasympathetic Division

A division of the autonomic nervous system that conserves energy by slowing the heart rate and increasing digestive and glandular activities.