For each of Exercises 1-4, sketch a unit circle and mark the points determined by the given real numbers. 3 πT 3 TT TT 4 d) T 1. a) b) e) 2 11π 4 c) f) 4 17 TT 4

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Chapter1: Functions And Models
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Number 4
## Exercise Set 5.4

### Instructions:
For each of Exercises 1–4, sketch a unit circle and mark the points determined by the given real numbers.

### Exercise 1:
a) \(\frac{\pi}{4}\)  
b) \(\frac{3\pi}{2}\)  
c) \(\frac{3\pi}{4}\)  
d) \(\pi\)  
e) \(\frac{11\pi}{4}\)  
f) \(\frac{17\pi}{4}\)  

### Exercise 2:
a) \(\frac{\pi}{2}\)  
b) \(\frac{5\pi}{4}\)  
c) \(2\pi\)  
d) \(\frac{9\pi}{4}\)  
e) \(\frac{13\pi}{4}\)  
f) \(\frac{23\pi}{4}\)  

### Exercise 3:
a) \(\frac{\pi}{6}\)  
b) \(\frac{2\pi}{3}\)  
c) \(\frac{7\pi}{6}\)  
d) \(\frac{10\pi}{6}\)  
e) \(\frac{14\pi}{6}\)  
f) \(\frac{23\pi}{4}\)  

### Exercise 4:
a) \(-\frac{\pi}{2}\)  
b) \(-\frac{3\pi}{4}\)  
c) \(-\frac{5\pi}{6}\)  
d) \(-\frac{5\pi}{2}\)  
e) \(-\frac{17\pi}{6}\)  
f) \(-\frac{9\pi}{4}\)  

---

**Note:**  
For Exercises 7 and 8, sketch a unit circle and mark the points similarly.  

**Copyright © 2006 Pearson Education, Inc.**
Transcribed Image Text:## Exercise Set 5.4 ### Instructions: For each of Exercises 1–4, sketch a unit circle and mark the points determined by the given real numbers. ### Exercise 1: a) \(\frac{\pi}{4}\) b) \(\frac{3\pi}{2}\) c) \(\frac{3\pi}{4}\) d) \(\pi\) e) \(\frac{11\pi}{4}\) f) \(\frac{17\pi}{4}\) ### Exercise 2: a) \(\frac{\pi}{2}\) b) \(\frac{5\pi}{4}\) c) \(2\pi\) d) \(\frac{9\pi}{4}\) e) \(\frac{13\pi}{4}\) f) \(\frac{23\pi}{4}\) ### Exercise 3: a) \(\frac{\pi}{6}\) b) \(\frac{2\pi}{3}\) c) \(\frac{7\pi}{6}\) d) \(\frac{10\pi}{6}\) e) \(\frac{14\pi}{6}\) f) \(\frac{23\pi}{4}\) ### Exercise 4: a) \(-\frac{\pi}{2}\) b) \(-\frac{3\pi}{4}\) c) \(-\frac{5\pi}{6}\) d) \(-\frac{5\pi}{2}\) e) \(-\frac{17\pi}{6}\) f) \(-\frac{9\pi}{4}\) --- **Note:** For Exercises 7 and 8, sketch a unit circle and mark the points similarly. **Copyright © 2006 Pearson Education, Inc.**
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