Use a Graph to Find a Number $\delta$ Such That $\left|\sin x-\frac{1}{2}\right|<0.4$

question 23

Short Answer

Use a graph to find a number $\delta$ such that $\left|\sin x-\frac{1}{2}\right|<0.4$ whenever $\left|x-\frac{\pi}{6}\right|<\delta$ .
Round your answer to the nearest thousandth.

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Definitions:

Mean

A statistical measure that represents the arithmetic average of a set of numbers.

Statistically Significant

A term used to describe a result that is unlikely to have occurred by chance alone, according to a predetermined threshold of probability.

Variation

The occurrence of differences among individuals within a population, due to genetic differences or environmental factors.

Participants

Individuals who take part in a research study or experiment, providing data for analysis.