Use the Fundamental Identities to Find the Value of the Trigonometric

question 12

Multiple Choice

Use the fundamental identities to find the value of the trigonometric function.
-Find $\sin \frac { x } { 2 }$ , given that $\sin x = \frac { 1 } { 4 }$ and $x$ terminates in $0 < x < \frac { \pi } { 2 }$ .

• A) \(\frac { \sqrt { 8 - 2 \sqrt { 15 } } } { 4 }\)
• B) \(\frac { \sqrt { 6 } } { 4 }\)
• C) \(\frac { \sqrt { 8 + 2 \sqrt { 15 } } } { 4 }\)
• D) \(\frac { \sqrt { 10 } } { 4 }\)

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Definitions:

Algebraic Expression

A mathematical phrase that can include numbers, variables, and operation symbols, but no equals sign.

Algebraic Expression

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols, but not an equality sign.

Consecutive Integers

Integers that follow each other in order without any gaps.

Simplified Expression

An expression that has been condensed to its simplest form, where all like terms have been combined and all operations have been performed.