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Use a Graph to Find a Number δ\delta Such That ∣sin⁡x−12∣<0.4\left|\sin x-\frac{1}{2}\right|<0.4

Question 23

Short Answer

Use a graph to find a number δ\delta such that ∣sin⁡x−12∣<0.4\left|\sin x-\frac{1}{2}\right|<0.4 whenever ∣x−π6∣<δ\left|x-\frac{\pi}{6}\right|<\delta .
Round your answer to the nearest thousandth.

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