Sine and Cosine Graphs

Front

What is the sine function?

Back

The sine function, denoted as sin(x), is a trigonometric function that relates the angle x (in radians) to the ratio of the length of the opposite side to the hypotenuse in a right triangle.

Front

What is the cosine function?

Back

The cosine function, denoted as cos(x), is a trigonometric function that relates the angle x (in radians) to the ratio of the length of the adjacent side to the hypotenuse in a right triangle.

Front

What is the period of the sine and cosine functions?

Back

Front

How do you find the period of a sine or cosine function with a coefficient B?

Back

Front

What is the amplitude of a sine or cosine function?

Back

The amplitude is the maximum distance from the midline of the graph to the peak (or trough) and is determined by the coefficient in front of the sine or cosine function.

Front

If the function is y = 3sin(x), what is the amplitude?

Back

The amplitude is 3.

Front

If the function is y = 2cos(4x), what is the period?

Back

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

What happens to the graph of a sine function if the amplitude is increased?

Back

Increasing the amplitude stretches the graph vertically, making the peaks and troughs higher and lower, respectively.