Question

In: Math

Find a possible formula for the trigonometric function whose values are in the following table. x...

Find a possible formula for the trigonometric function whose values are in the following table.

x 0 2 4 6 8 10 12
y 8 2 -4 2 8 2 -4



y =

Solutions

Expert Solution

With the help of given table first we plot the graph between x and y then by observation we find the graph similar to cosine graph with vertical translation 2 units , amplitude of 6 units and an interval of 8 units with no horizontal translation.

Hence the required trignometric function is y=6 cos(πx/4) + 2


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