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:

Sister Chromatids

Identical copies of a single chromosome that are connected by a centromere and are formed during the replication phase of the cell cycle, crucial for genetic material distribution during cell division.

Chromosomal DNA

The DNA that is contained within the chromosomes of a cell, carrying genetic information vital for the cell's structure, development, and function.

Nuclei

The central and most important part of an object, movement, or group, forming the basis for its activity and growth; in biology, the membrane-bound organelle that contains the cell's DNA.

Systematic Notes

Organized and methodical recordings of observations, measurements, or information that are carefully maintained for analysis, research, or documentation purposes.