One well-known Cepheid variable is Polaris, the North Star. The apparent magnitude of Polaris varies from an average level of 1.97 with an amplitude of 0.1 and a period of 3.97 days. Make a sine model of the apparent magnitude of Polaris as a function of time. (Express numbers in exact form. Use symbolic notation and fractions where needed. Give the equations in terms of t and m, where t is time measured in days and m is apparent magnitude. Note that t=0 occurs on a day when the magnitude is beginning to increase from the average level.) equation:

Q: Determine the amplitude of the following Sine graph. 2x -21

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A:

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A: The given equation is y=-3csc12x-π4-5. The standard equation of cosecant function is y=A cscBx-C+D.…

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A: Consider the given table.

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A:

Q: One well-known Cepheid variable is Polaris, the North Star. The apparent magnitude of Polaris varies…

A: (a) Give the time period is 3.97 days. So  w=25T=253.97=1.58 /days Hence the equation can be written…

Q: The graph of the cosine function has been vertically compressed by a factor of 3, reflected in the…

A: Using the given transformations, we can find the required equation.