Use the Trigonometric Substitution to Rewrite the Algebraic Expression as a Trigonometric

question 55

Multiple Choice

Use the trigonometric substitution to rewrite the algebraic expression as a trigonometric function of $\theta$ , where $0 < x < \frac { \pi } { 2 }$ .
$\sqrt { 16 - x ^ { 2 } } , x = 4 \cos \theta$

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Definitions:

Amniotic Sac

A fluid-filled sac within the uterus that surrounds and protects a developing fetus during pregnancy.

Zygote

The initial cell formed when a new organism is produced by the fusion of sperm and egg cells, representing the earliest developmental stage.

Pupa

A developmental stage of some insects, occurring after the larva stage and before adulthood, during which the organism undergoes significant transformation.

Embryonic Stage

The phase of prenatal development that occurs from fertilization until the end of the eighth week, where major structures and organ systems begin to form.