THS Trig v2 Sine and Cosine Graphs

Front

What is the sine function?

Back

The sine function, denoted as y=sin(x), represents the y-coordinate of a point on the unit circle corresponding to an angle x.

Front

What is the cosine function?

Back

The cosine function, denoted as y=cos(x), represents the x-coordinate of a point on the unit circle corresponding to an angle x.

Front

What is the period of a sine or cosine function?

Back

The period of a sine or cosine function is the length of one complete cycle before the function repeats.

Front

What is amplitude in the context of sine and cosine graphs?

Back

Amplitude refers to how high and low the function varies from its center line.

Front

How do you determine the amplitude of a sine or cosine graph?

Back

The amplitude is determined by the coefficient in front of the sine or cosine function. For example, in y=3sin(x), the amplitude is 3.

Front

What is the period of the function y=4cos(5x)?

Back

The period of y=4cos(5x) is 2π/5.

Front

What is the range of the sine function?

Back

The range of the sine function is from -1 to 1.

Front

What is the range of the cosine function?

Back

The range of the cosine function is from -1 to 1.

Front

How does a phase shift affect the graph of a sine or cosine function?

Back

A phase shift moves the graph left or right along the x-axis, affecting the starting point of the cycle.

Front

What is a vertical shift in sine and cosine graphs?

Back

A vertical shift moves the graph up or down along the y-axis, changing the center line of the function.