##### Notes

This printable supports Common Core Math Standard HSF-TF.B.5

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# Periodic Trigonometric Functions (Grades 11-12)

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## Periodic Trigonometric Functions

1.
Draw the function $f(x)=2sin x$ on the graph.

2.
Draw the function $f(x)=5cos(3x+2)-4$ on the graph.

3.
The maximum value of the function $f(x)=3 tan(x+2) -1$ is 2.
1. True
2. False
4.
The values of the function $f(x)= sin(x-2)+3$ are always positive.
1. True
2. False
5.
The function $f(x)=2 sin(3x) +1$ has                 frequency when compared to $f(x)=3 sin(3x) +2$.
1. the same
2. a greater
3. 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 $f(x)=3 sin(2x)$ has a larger amplitude than $f(x)=4 cos(x)-2$.
1. True
2. False
8.
Draw the function $f(x)= sin(.5x)+1$ on the graph. Draw and label the x-axis and y-axis.

9.
Draw the function $f(x)= tan x$ 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 $f(x)=3cosx+2 ?$
1. Always positive
2. Always negative
3. Mostly positive
4. Mostly negative
5. Equally positive and negative
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