Use the Given Information to Find the Exact Value of the Trigonometric

question 15

Multiple Choice

Use the given information to find the exact value of the trigonometric function.
- $\sin \theta = \frac { 1 } { 4 } , \theta$ lies in quadrant I $\quad$ Find $\sin \frac { \theta } { 2 }$

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

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Definitions:

Coefficient of Determination

A statistical measure, often denoted as R^2, that represents the proportion of variance for a dependent variable that's explained by one or more independent variables.

Shared Variance

The portion of variance in a set of variables that is common across those variables, indicating the degree to which they are related.

Karl Pearson

A British mathematician and biometrician known for founding the discipline of mathematical statistics.

Product-moment

Refers to a correlation coefficient developed by Karl Pearson that measures the strength and direction of a linear relationship between two variables.