# A minimum value of a sinusoidal Function is at #(pi/4, 3)#. The nearest maximum value to the right of this point is at #((7pi)/12, 7)#. What is the equation of this function?

##### 1 Answer

#### Explanation:

Let us write the generic sinusoidal function as:

First we note that the value for the minimum is

and therefore:

Then we note that a minimum of

or:

subtracting the first equation from the second:

so

and

Thus the sinusoidal function we are searching is:

graph{2sin(3x-(5pi)/4)+5 [-2.396, 2.604, 2, 8]}