Rewrite the Expression as an Algebraic Expression in X $\sin \left( \cos ^ { - 1 } x \right)$

question 13

Multiple Choice

Rewrite the expression as an algebraic expression in x. $\sin \left( \cos ^ { - 1 } x \right)$

• A) \(1 - x\)
• B) \(1 - x ^ { 2 }\)
• C) \(\sqrt { 1 - x ^ { 2 } }\)
• D) \(\frac { \sqrt { x ^ { 2 } - 1 } } { x }\)
• E) \(\frac { x } { \sqrt { x ^ { 2 } - 1 } }\)

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Definitions:

Permanent Reflexes

Permanent reflexes are hardwired motor responses that last throughout an individual's life, such as blinking and breathing.

Rooting Reflex

An automatic movement in newborns, where they turn their head toward something that touches their cheek and make sucking movements with their mouth, aiding in breastfeeding.

Stepping

A fundamental locomotor activity involving the coordination of legs to move the body forward or backward, often considered a precursor to walking in infants.

Blinking

The rapid closing and opening of the eyelid, which is a reflex action to protect the eye from irritants.