Use the Appropriate Identity to Find the Indicated Function Value $\tan \theta$

question 281

Multiple Choice

Use the appropriate identity to find the indicated function value. Rationalize the denominator, if applicable. If the given
value is a decimal, round your answer to three decimal places.
- $\tan \theta$ , given that $\cot \theta = - \frac { 2 } { 3 }$

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

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Definitions:

Induced Dipole Bonding

A type of weak intermolecular force that arises when the presence of a polar molecule induces a dipole in a nonpolar molecule.

Hydrogen Bonding

A type of weak chemical bond that occurs when a hydrogen atom covalently bonded to a highly electronegative atom, such as oxygen or nitrogen, experiences attraction to another electronegative atom.

Hemoglobin

Hemoglobin is a protein in red blood cells that carries oxygen from the lungs to the body's tissues and returns carbon dioxide from the tissues back to the lungs.

Secondary Structure

The local folded structures that form within a polypeptide due to interactions between atoms in the backbone, typically alpha-helices and beta-sheets.