write the maximum and minimum value of sin into sin x
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Since, by common definition, the sine of an angle is the [math]y[/math]-coordinate of a point on the unit circle [math]x^2+y^2=1[/math], the value must be in the interval [math][-1,1][/math]. Since [math]-1[/math] and [math]1[/math] are attained, for instance at [math]3\pi/2[/math] and [math]\pi/2[/math]respectively, these are the minimum and maximum values.
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