SOLUTION: A sine curve has maximum value 1.5, minimum value -1.5, and period 4 times pie. find and equation for this curve
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Question 476790: A sine curve has maximum value 1.5, minimum value -1.5, and period 4 times pie. find and equation for this curve
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
We know that the equation will be in the form
 = 1.5 \sin(Ax + B))
where A is the "frequency" of the sine function, and 1.5 is the amplitude.. Normally, the function sin x has a period of 2pi, so sin x/2 will have a period of 4pi (graph this if you are unsure), so A = 1/2. B can actually be anything; all B does is shift the graph left or right. So our function should look something like
 = 1.5 \sin(\frac{x}{2} + B))
where B is some constant.
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