Simplify the Following Expression Algebraically $2 \cos \left( \frac { 3 \pi } { 2 } - x \right)$

question 32

Multiple Choice

Simplify the following expression algebraically. $2 \cos \left( \frac { 3 \pi } { 2 } - x \right)$

• A) \(- 2 \cos x\)
• B) \(2 \sin x\)
• C) \(- \frac { 3 } { 2 } \sin x\)
• D) \(- 2 \sin x\)
• E) \(\frac { 3 } { 2 } \sin x\)

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Definitions:

Residual Volume

The amount of air remaining in the lungs after a forceful exhalation, ensuring continuous gas exchange.

Inspiratory Reserve Volume

The additional amount of air that can be inhaled after a normal inhalation, used to assess lung function.

Tidal Volume

The amount of air that is inhaled or exhaled during normal breathing.

Functional Residual Capacity

The volume of air remaining in the lungs after a normal, passive exhalation.