3.3.1: The Other Trigonometric Functions (Exercises)

Activity 2.3.1

The Other Trigonometric Functions

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I. For the following exercises, find the exact value of the given expression.

1. \(\cos \frac{\pi}{6}\)

2. \(\tan \frac{\pi}{4}\)

3. \(\csc \frac{\pi}{3}\)

4. \(\sec \frac{\pi}{4}\)

II. For the following exercises, use reference angles to evaluate the given expression.

1. \(\sec \frac{11 \pi}{3}\)

2. \(\sec 315^{\circ}\)

3. If \(\sec (t)=-2.5,\) what is the \(\sec (-t) ?\)

4. If \(\tan (t)=-0.6,\) what is the \(\tan (-t) ?\)

5. If \(\tan (t)=\frac{1}{3},\) find \(\tan (t-\pi)\)

6. If \(\cos (t)=\frac{\sqrt{2}}{2},\) find \(\sin (t+2 \pi) .\) There are two possible solutions.

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