Use Identities to Find the Indicated Value for Each Angle $\tan \theta$

question 76

Multiple Choice

Use identities to find the indicated value for each angle measure.
-Find $\tan \theta$ if $\cos \theta = \frac { 1 } { 2 }$ and $\theta$ is in quadrant IV.

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

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Definitions:

IUPAC

The International Union of Pure and Applied Chemistry, an organization responsible for standardizing chemical nomenclature.

Isopropyl

A hydrocarbon group or radical with the molecular formula C3H7, derived from propane by the removal of one hydrogen atom from the middle carbon.

Pent-2-ene

An unsaturated hydrocarbon with a double bond between the second and third carbon atoms in a five-carbon chain.

Oxetane

A four-membered cyclic ether characterized by an oxygen atom bonded to three carbon atoms.