Periodic Functions

Front

What is a periodic function?

Back

A periodic function is a function that repeats its values at regular intervals or periods. For example, sine and cosine functions are periodic with a period of 2π.

Front

What is the period of the sine function?

Back

The period of the sine function is 2π.

Front

What is the period of the cosine function?

Back

The period of the cosine function is also 2π.

Front

Back

Front

What does the graph of a periodic function look like?

Back

The graph of a periodic function shows a repeating pattern over its domain.

Front

What is the reciprocal of sine?

Back

Front

What is the amplitude of a sine function?

Back

The amplitude of a sine function is the maximum distance from the midline to the peak or trough of the graph.

Front

What effect does a negative amplitude have on a sine function?

Back

A negative amplitude causes a reflection of the graph across the X-axis.

Front

What does a vertical shift of 3 units up mean for a sine function?

Back

A vertical shift of 3 units up means that the entire graph of the sine function is moved 3 units higher on the Y-axis.

Front

What is the phase shift of a periodic function?

Back

The phase shift is the horizontal shift left or right for periodic functions, affecting where the function starts.