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:

Discretionary Fiscal Policy

Economic policies based on government spending and taxation that are employed to manage economic fluctuations and steer the economy.

Automatic Stabilizers

Economic policies and programs designed to offset fluctuations in a nation's economic activity without direct intervention by policymakers.

Expansionary Fiscal Policy

Government policy aimed at increasing economic activity through higher spending or lower taxes.

Deficit Reduction Packages

Sets of policy measures aimed at reducing government budget deficits through spending cuts, tax increases, or a combination of both.