SOLUTION: A sinusoidal function has an amplitude of 6 units, a period of 45° and a minimum at (0, 3). Determine an equation of the function.
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-> SOLUTION: A sinusoidal function has an amplitude of 6 units, a period of 45° and a minimum at (0, 3). Determine an equation of the function.
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(1) minimum at (0,3) means either a negative cosine function with no horizontal shift or a shifted sine function; since the shift makes the equation more complicated, we will use a negative cosine function.
(2) An amplitude of 6 and a minimum at (0,3) means the center line is 3+6 = 9.
(3) The period is 45 degrees (pi/4 radians), which is 1/8 of the period of the basic cosine function:
A graph: center line 9; minimum 3 and maximum 15; period pi/4 = 0.785 approximately....
