Use the Fundamental Identities to Find the Value of the Trigonometric

question 315

Multiple Choice

Use the fundamental identities to find the value of the trigonometric function.
-Find $\csc \theta$ if $\sin \theta = - \frac { 2 } { 3 }$ and $\theta$ is in quadrant IV.

• A) \(\frac { 3 \sqrt { 7 } } { 7 }\)
• B) \(- \frac { 3 } { 2 }\)
• C) \(\frac { 5 } { 4 }\)
• D) \(- \frac { \sqrt { 7 } } { 9 }\)

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Definitions:

Lewis Structure

A graphical representation of the distribution of electrons in molecules, showing how the atoms are bonded together and the pairs of electrons not involved in bonding.

Boron Trifluoride

A pungent, toxic gas that forms white fumes in moist air and is used in various chemical reactions as a catalyst.

Octet

The state of an atom achieved when it has a full valence shell of eight electrons, making it stable and less reactive.

Methyl Chloride

A colorless, flammable gas used as a refrigerant, solvent, and in organic synthesis.