Trigonometry and plotting trigonometric equations


Questions:

Trigonometry and Plotting Trigonometric Equations

Two wheels are rotating in such a way that the rotation of the smaller wheel causes the larger wheel to rotate. The radius of the smaller wheel is 5.7 centimeters and the radius of the larger wheel is 18.1 centimeters. Through how many degrees will the larger wheel rotate if the smaller one roatates 151 degrees?
ans. 47.55 degrees

Please show the steps to the following and how to find each one graph three periods of the function (what does that mean?) Use your understaning of transformations, not your graphing calculator. Be sure to show the scale on both axes.

1. y=5 sin 2 x

I know the amplitude is 5, I don't know why or how to come up with 1.5 pi on x axes

2. y= 0.5 cos 3 x

Amplitude .5 I don't understand why pie and -pie on x axes. Also, where you go on x axes.

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Mathematics: Trigonometry and plotting trigonometric equations
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