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1 coterminal 2 radian 3 complementary; supplementary 4 degree 5 linear 306 Chapter 4 Trigonometry angle, so the solutions are quadrants angles

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CHAPTER 4

Trigonometry

Section 4.1 Radian and Degree Measure .............................................................. 305

Section 4.2 Trigonometric Functions: The Unit Circle ........................................ 311

Section 4.3 Right Triangle Trigonometry ............................................................. 316

Section 4.4 Trigonometric Functions of Any Angle ............................................ 327 Section 4.5 Graphs of Sine and Cosine Functions ................................................ 339 Section 4.6 Graphs of Other Trigonometric Functions ........................................ 351

Section 4.7 Inverse Trigonometric Functions ....................................................... 361

Section 4.8 Applications and Models .................................................................... 373

Review Exercises ........................................................................................................ 381

Problem Solving ......................................................................................................... 390

Practice Test ............................................................................................................. 394

© 2018 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. 305

CHAPTER 4

Trigonometry

Section 4.1 Radian and Degree Measure

1. coterminal

2. radian

3. complementary; supplementary

4. degree

5. linear; angular

6. 21
2 7.

The angle shown is approximately 1 radian.

8.

The angle shown is approximately 5.5 radians.

9.

The angle shown is approximately

3- radians.

10.

The angle shown is approximately 6.5 radians.

11. (a) Because

0,424 << lies in Quadrant ǥ. (b) Because 5

4-→

is coterminal with 3

4→

and

3,24<<→→→5

4-→

lies in Quadrant II.

12. (a) Because

6- is coterminal with 11

6→

and

3112,26<<→→→

6- lies in Quadrant ǥV. (b) Because

11 3,92<<→→→11

9→

lies in Quadrant ǥIǥ. 13. (a) 3 (b) 2

3→

14. (a)

5

2→

(b) 4 y xquotesdbs_dbs7.pdfusesText_5