Which of the Following Expressions Is Equivalent To $\frac { 5 } { \tan \beta } + 5 \tan \beta$

question 14

Multiple Choice

Which of the following expressions is equivalent to $\frac { 5 } { \tan \beta } + 5 \tan \beta$ ?
( $\beta$ $\neq$ $\pi$ /2+ $\pi$ n, where n is a whole number)

• A) \(\frac { 5 \cos ^ { 2 } \beta } { \cot \beta }\)
• B) \(\frac { 5 \tan ^ { 2 } \beta } { \sec \beta }\)
• C) \(\frac { 5 \sec ^ { 2 } \beta } { \tan \beta }\)
• D) \(\frac { 5 \sec ^ { 2 } \beta } { \cot \beta }\)
• E) \(\frac { 5 \cos ^ { 2 } \beta } { \tan \beta }\)

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Definitions:

Sympathetic Nervous System

Part of the autonomic nervous system that activates what is often termed the fight or flight response, preparing the body for rapid action in response to a threat.

Parasympathetic Nervous System

Part of the autonomic nervous system that conserves energy and restores the body to a state of calm.

Central Nervous System

The part of the nervous system comprising the brain and spinal cord, responsible for processing and sending out nervous signals.

General Adaptation Syndrome

A three-phase response pattern to stress described by Hans Selye, consisting of alarm, resistance, and exhaustion stages.