Modeling w/Trig Functions Homework

Front

What is the formula to find the period (p) of a trigonometric function?

Back

Front

How do you calculate the angular frequency (b) from the period (p)?

Back

Front

What is the vertical shift in a trigonometric function?

Back

The vertical shift is the midpoint between the maximum and minimum values of the function.

Front

How do you determine the amplitude of a trigonometric function?

Back

The amplitude is the distance from the midline (vertical shift) to the maximum or minimum value.

Front

Back

The amplitude is 2.

Front

Back

The maximum value is 7 (5 + 2).

Front

Back

The minimum value is 3 (5 - 2).

Front

What type of trigonometric function is used to model periodic behavior?

Back

Sine and cosine functions are commonly used to model periodic behavior.

Front

What is the general form of a cosine function?

Back

Front

What is the relationship between the string length and the amplitude in a yo-yo model?

Back

The amplitude is half the length of the string if the yo-yo swings from the highest to the lowest point.