Use the Fundamental Identities to Find the Value of the Trigonometric

question 60

Multiple Choice

Use the fundamental identities to find the value of the trigonometric function.
-An airplane flying faster than the speed of sound creates sound waves that form a cone. If $\theta$ is the vertex angle of the cone and $\mathrm { m }$ is the Mach number for the speed of the plane, then $\sin \frac { \theta } { 2 } = \frac { 1 } { \mathrm {~m} }$ $( \mathrm { m } > 1 )$ . Find $\theta$ to the nearest degree if $\mathrm { m } = 2.9$ .

• A) \(45 ^ { \circ }\)
• B) \(43 ^ { \circ }\)
• C) \(38 ^ { \circ }\)
• D) \(40 ^ { \circ }\)

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Definitions:

Personal Fable

A cognitive distortion often seen in adolescence, where the individual believes their thoughts, feelings, and experiences are unique and not understood by others.

Formal Operations

The fourth and final stage of Jean Piaget's theory of cognitive development, marked by the ability to think abstractly, logically, and systematically.

Piaget's Stage

Refers to one of the four stages in Jean Piaget's theory of cognitive development through which children progress from infancy to adolescence, acquiring new understandings and cognitive skills.

Political Philosophies

The study of fundamental questions about the state, government, politics, liberty, justice, and the enforcement of a legal code by authority.