Write the Trigonometric Expression as an Algebraic Expression in U $\csc \left( \tan ^ { - 1 } \mathrm { u } \right)$

question 19

Multiple Choice

Write the trigonometric expression as an algebraic expression in u.
- $\csc \left( \tan ^ { - 1 } \mathrm { u } \right)$

• A) \(\frac { 1 } { \sqrt { \mathrm { u } ^ { 2 } + 1 } }\)
• B) \(\frac { \mathrm { u } } { \sqrt { \mathrm { u } ^ { 2 } + 1 } }\)
• C) \(\frac { \sqrt { \mathrm { u } ^ { 2 } + 1 } } { \mathrm { u } }\)
• D) \(\frac { 1 } { \sqrt { \mathrm { u } ^ { 2 } - 1 } }\)

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Definitions:

Laryngopharynx

The lower part of the pharynx just below the oropharynx, facilitating the passage of food to the esophagus and air to the larynx.

Nasopharynx

The upper part of the throat located behind the nose, connecting the nasal cavity to the mouth and the esophagus.

Oropharynx

The part of the throat that is located at the back of the mouth, serving as a pathway for food and air.

Larynx

The voice box located at the upper part of the trachea, responsible for voice production, breathing, and protecting the trachea against food aspiration.