Mathegoras

Trigonometry › Trigonometric functions: period and extremes › Maximum and minimum

Max-min difference of a shifted sine

High school · ●●○○○ 20 pts

Find the difference between the maximum and minimum values of the function y=2sin⁡(πx6−π3)y=2\sin\left(\frac{\pi x}{6}-\frac{\pi}{3}\right) for 0⩽x⩽90\leqslant x\leqslant 9. Round to two decimal places.

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trigonometric functionsoptimization