FST 4.5 Sine and Cosine Graphs

Front

What is the amplitude of a sine or cosine graph?

Back

The amplitude is the maximum distance from the midline to the peak (or trough) of the graph. It represents half the distance between the maximum and minimum values.

Front

How do you find the amplitude of the function y = 3sin(x)?

Back

The amplitude is 3, which is the coefficient in front of the sine function.

Front

What does the term 'period' refer to in sine and cosine graphs?

Back

Front

What is the period of the function y = cos(2x)?

Back

Front

What are the maximum and minimum values of the function y = 4cos(x)?

Back

The maximum value is 4 and the minimum value is -4.

Front

What is the midline of the function y = 2sin(x)?

Back

The midline is y = 0, which is the horizontal line that runs through the middle of the graph.

Front

How do you determine the coordinates of a point on the sine graph at x = 90 degrees?

Back

At x = 90 degrees, the coordinates are (90, 1) because sin(90°) = 1.

Front

What is the amplitude of the function represented by the graph with a maximum of 2 and a minimum of -2?

Back

Front

What is the frequency of a sine function with a period of 4?

Back

Front

What is the effect of increasing the amplitude in a sine or cosine graph?

Back

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