A minimum value of a sinusoidal Function is at (π4,3). The nearest maximum value to the right of this point is at (7π12,7). What is the equation of this function?
1 Answer
Dec 30, 2016
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]}