Rewrite in Terms of Sine and Cosine, and Simplify the Expression

question 13

Multiple Choice

Rewrite in terms of sine and cosine, and simplify the expression: $\frac { \cot \beta - \cot \beta \cos \beta - \cos \beta \sin \beta } { \cos \beta \cot \beta }$

• A) \(\cot ^ { 2 } \beta - \cos ^ { 2 } \beta\)
• B) \(\cos \beta - \cot \beta\)
• C) \(\cos \beta - 1\)
• D) \(\sin \beta - \cos \beta\)
• E) \(\frac { \cos \beta \cot \beta } { \cos \beta + 1 }\)

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Definitions:

Midbrain

A part of the brainstem that plays an important role in vision, hearing, motor control, sleep/wake, arousal, and temperature regulation.

Medulla

The inner region of an organ or tissue, notably in the adrenal glands and kidneys, involved in various regulatory processes.

Infundibulum

A funnel-shaped structure, specifically in anatomy can refer to the connection between the hypothalamus and the pituitary gland or the passage in the ovary through which the egg travels.

Corpus Callosum

A thick band of nerve fibers that divides the cerebral cortex lobes into left and right hemispheres, facilitating communication between the two sides of the brain.