8.1E: Graphs of the Sine and Cosine Functions (Exercises)

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Dec 26, 2024
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- 8.1: Graphs of the Sine and Cosine Functions
- 8.2: Graphs of the Other Trigonometric Functions

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For the following exercises, graph the functions for two periods and determine the amplitude or stretching factor, period, midline equation, and asymptotes.

1. $f(x)=-3 \cos x+3$

2. $f(x)=\frac{1}{4} \sin x$

3. $f(x)=3 \cos \left(x+\frac{\pi}{6}\right)$

4. $f(x)=-2 \sin \left(x-\frac{2 \pi}{3}\right)$

5. $f(x)=3 \sin \left(x-\frac{\pi}{4}\right)-4$

6. $f(x)=2\left(\cos \left(x-\frac{4 \pi}{3}\right)+1\right)$

7. $f(x)=6 \sin \left(3 x-\frac{\pi}{6}\right)-1$

8. $f(x)=-100 \sin (50 x-20)$

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