Periodic Trigonometric Functions (Grades 11-12)
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Periodic Trigonometric Functions
1.
Draw the function [math]f(x)=2sin x[/math] on the graph.

2.
Draw the function [math]f(x)=5cos(3x+2)-4[/math] on the graph.

3.
The maximum value of the function [math]f(x)=3 tan(x+2) -1[/math] is 2.
- True
- False
4.
The values of the function [math]f(x)= sin(x-2)+3[/math] are always positive.
- True
- False
5.
The function [math]f(x)=2 sin(3x) +1[/math] has frequency when compared to [math]f(x)=3 sin(3x) +2[/math].
- the same
- a greater
- a lesser
6.
The amplitude of a sine wave can be described as the magnitude of the difference in values between the and the .
7.
The function [math]f(x)=3 sin(2x)[/math] has a larger amplitude than [math]f(x)=4 cos(x)-2[/math].
- True
- False
8.
Draw the function [math]f(x)= sin(0.5x)+1[/math] on the graph. Draw and label the x-axis and y-axis.

9.
Draw the function [math]f(x)= tan x[/math] on the graph. Choose an appropriate scale and label the x-axis and y-axis.

10.
Which of the following best describes the values of the function [math]f(x)=3cosx+2 ?[/math]
- Always positive
- Always negative
- Mostly positive
- Mostly negative
- Equally positive and negative
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