Simplify the Expression and Enter the Answer in Terms of Sine

question 19

Multiple Choice

Simplify the expression and enter the answer in terms of sine and cosine. $( \sec B + \tan B ) ( \sec B - \tan B )$

• A) \(\sec ^ { 2 } B + \tan ^ { 2 } B\)
• B) \(- 2 \cos B \sin B\)
• C) \(0\)
• D) \(1\)
• E) \(1 - \cos ^ { 2 } B\)

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Definitions:

False Alarm

An event where a warning or concern is raised without an actual threat or danger being present.

Panic

An extreme fear reaction that is triggered even though there is nothing to be afraid of (it is essentially a “false alarm”).

GABA

A neurotransmitter in the brain known for its role in inhibiting nerve transmissions, contributing to calming nervous activity.

Neurotransmitter System

A set of mechanisms within the nervous system that involves the synthesis, release, and reception of neurotransmitters to communicate between neurons.