Features of Sinusoidal Functions
This video introduces the main features of sinusoidal functions: the amplitude, the midline, and the period. The sine and cosine are both sinusoidal functions.
The midline is the horizontal line that divides the function in half. It is halfway between the maximum and minimum points on the function.
The amplitude is the distance between the midline and either the maximum or minimum value of the function.
The period is the horizontal distance of one segment of the function without repetition. Essentially the function repeats itself infinitely many times and one segment without repetition is called the period. Another way to define the period is that it is the distance between maximum points (or minimum points).
Khan Academy exercise to practice:
1. Midline of Sinusoidal Functions from Graph: https://www.khanacademy.org/math/trig...
2. Amplitude of Sinusoidal Functions from Graph: https://www.khanacademy.org/math/trig...
3. Period of Sinusoidal Functions from Graph: https://www.khanacademy.org/math/trig...
EulersAcademy.org