3.1.1: Unit Circle (Exercises)

Activity 2.1.1

Unit Circle

Name:	Date:
Program/Yr/Section:	Course:
Class Schedule:	Score/Rating:

I. Use the Unit Circle to find the values of the Trigonometric Functions

1. \(\sin \frac{\pi}{3}\). 4. \(\sin 30°\)

2. \(\cos \frac{\pi}{4}\) 5. \(\sin \frac{3\pi}{4}\)

3. \(\cos \pi\).

II. Find the reference angle of the following:

1. 120° 4. -135°

2. 150° 5. -330°

3. 225°

III. Find the requested value of the following:

1. If \(\sin \theta = -\frac{7}{25}\) with \(\theta\) in Quadrant IV, what is \(\cos\theta\) ?

2. If \(\cos \theta = \frac{4}{9}\) with \(\theta\) in Quadrant I, what is \(\sin\theta\)?

3. If \(\sin \theta = \frac{5}{13}\) with \(\theta\) in Quadrant II, what is \(\cos\theta\)?

4. If \(\cos \theta = -\frac{2}{11}\) with \(\theta\) in Quadrant III, what is \(\sin\theta\)?

5. If \(\sin \theta = -\frac{2}{3}\) with \(\theta\) in Quadrant III, what is \(\cos\theta\)?

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