Trigonometric Functions: Quiz

Problem 5

Match each function with its graph.

1. cos(2x)
2. sin(x – π)
3. sin²x – cos²x
4. cos(x) + sin(x)

Answers, problem 5

1. This is the graph of cos(x) compressed by a factor of 2, so we expect one period to be equal to π, which is approximately 3.142. The amplitude is 1. Therefore the answer is b

2. This is the graph of sin(x) shifted π units to the right. The period is 2π and the amplitude is 1. The answer is therefore c.

3. Using the applet in section 1.5, we can see that the graph of this function is identical to d.

4. Again using the applet, we can see that the graph of this function is a.

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