Lissajous figures are used in the study of electrical

Chapter 10, Problem 10.4.47

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Lissajous figures are used in the study of electrical circuits to determine the phase difference between a known voltage (t) A sin ( t) and an unknown voltage (t) B sin ( t ) having the same frequency. The voltages are graphed parametrically as x (t) and y (t). If is acute, thenwhere is the nonnegative y-intercept and is the maximum y-value on the curve. (a) Graph the parametric curve x (t) and y (t) for the specified range of t.(b) Use the graph to approximate in degrees.

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