Modeling with Trig. Functions
After completing the previous sections on Trigonometric Functions, we are almost ready to try and work on "real world" problems. But before getting to that, lets recall the sine graph:
We recall from the section More Trig. Functions that
the period, T, of the sine curve is 2. If we wanted to know the FREQUENCY (denoted by f) - which is the
number of times the curve oscillates in 1 second - we use the formula: f = 1/T.
From the graph we see that the sine curve oscillates between 1 and -1. From
this, we determine the AMPLITUDE to be 1. (We determine this by subtracting
the lowest point from the highest point and then dividing by 2.
We are now ready to look at some examples.