Sinusoidal Functions

We started using a new type of function today
Sinusoidal Functions are functions that resemble repeating wave patterns
There are Periodic functions (ones that repeat in a regular pattern but cannot be drawn using a sine function.  Examples might be heartbeats, tangent functions)

We saw for the general sin equation y= a sin (bx + c) +d
a is the amplitude
b is the number of waves that fit in the space of 2pi (and is used in the formula Period = 2pi/b)
d is the median or middle value

We can use these to find other values as well
Max height = d + a
Minimum height = d - a

Or if we know the Max and min then (max + min)/2 = middle or median value

You can manipulate the formula to determine other values as well.

(Pictures of class notes to come soon)