Use the Fundamental Identities to Find the Value of the Trigonometric

question 136

Multiple Choice

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

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

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Definitions:

Base

A substance that accepts protons from acids according to the Brønsted-Lowry acid-base theory and has a high pH in solution.

Sugar

A sweet-tasting carbohydrate that is used as a source of energy in living organisms.

Protein

Large biomolecules consisting of one or more chains of amino acids, crucial for the structure, function, and regulation of the body's cells, tissues, and organs.

Amylase

An enzyme that catalyzes the breakdown of starches into sugars, playing a critical role in the digestive process.