Maximum of a Function on an Interval

Project ID: 
7500000163
Question: 
The function $f$ has a maximum on the interval $I$ at the point $x_0$. From the given list, form triples $(f,I,x_0)$ so that the given statement is true.
Header 1: 
$$f(x)$$
Header 2: 
$$I$$
Header 3: 
$$x_0$$
Text 11: 
$$\sin(x)$$
Text 21: 
$$\left(0;\frac{3\pi}{4}\right)$$
Text 31: 
$$\frac{\pi}{2}$$
Text 12: 
$$\sin(2x)$$
Text 22: 
$$\left(\pi;\frac{3\pi}{2}\right)$$
Text 32: 
$$\frac{5\pi}{4}$$
Text 13: 
$$-\sin\left(\frac{x}{2}\right)$$
Text 23: 
$$(2\pi;3\pi\rangle$$
Text 33: 
$$3\pi$$
Text 14: 
$$\sin(3x)$$
Text 24: 
$$\left(\frac{\pi}{2};\pi\right)$$
Text 34: 
$$\frac{5\pi}{6}$$
Text 15: 
$$\cos(x)$$
Text 25: 
$$\left(-\frac{\pi}{2};\frac{\pi}{2}\right)$$
Text 35: 
$$0$$
Workflow: 
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