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Graph each function in the interval from 0 to 2n. 29. y sec 20 30. y cot 0 31. y cse 28 -1 32. y esc 20

Graph each function in the interval from 0 to 2n. 29. y sec 20 30. y cot 0 31. y cse 28 -1 32. y esc 20

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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You can use a reciprocal trigonometric function to solve a real-world probu 6 EXAMPLE Real-World Connection Indirect Measurement A handler of a parade balloon holds a line of length length is modeled by the function y d see 0, where d is the distance from handler of the balloon to the point on the ground just below the balloon, anda the angle formed by the line and the ground. Graph the function for d6 the length of line needed to form an angle of 60. y 6 sec e- 6() - Use the definition of secant. Simplify Graph the function, Use the value feature. Real-World Connection Xmin 0 Xmax=90 Xscl-30 Some large parade balloons need more than 50 physically fit, trained handlers. Ymin 0 Ymax=30 X-60 Y=12 Yscl=3 • To form an angle of 60°, the line must be 12 ft long. Check Understanding O How long must the line be to form an angle of 60°? Of 45°? Of 5? EXERCISES For more practice, see Extra Practice Practice and Problem Solving A Practice by Example Evaluate each expression. Give your answer as a decimal rounded to the nearest hundredth. Example 1 (page 749) 1. csc 100° 2. csc 80° 3. cot (-55°) 4. sec 200 Evaluate each expression. Write your answer in exact form. 5. Suppose tan 0 = . Find cot 0. 6. Suppose sin 0= . Find csc 0. 7. Suppose cos 0 = -. Find sec 0. 8. Suppose tan 0 = . Find cot 6. Example 2 (page 750) Find the exact value of each expression. If the expression is undefined, write undefined. 9. sec 45° 10. cot 60° 11. cot 90° 12. sec 180° 13. csc 0° 14. csc 60° 15. cot 0" 16, cot 30 17. sec 90° 18. csc 30° 19. sec 60° 20. csc 45 Evaluate each expression to the nearest hundredth. Each angle is given in radians. Example 3 (page 750) 21. cot 3 22. sec n 23. csc5 24. sec (-) 25. sec 2.5 26. csc (-3.2) 27. cot 28. csc (-4.5) Graph each function in the interval from 0 to 2r. Example 4 (page 751) 29. y sec 20 30. y cot 0 31. y= csc 26 32. y esc 20 752 Chapter 13 Periodic Functions and Trigonometry wni, L, 35453
Transcribed Image Text:You can use a reciprocal trigonometric function to solve a real-world probu 6 EXAMPLE Real-World Connection Indirect Measurement A handler of a parade balloon holds a line of length length is modeled by the function y d see 0, where d is the distance from handler of the balloon to the point on the ground just below the balloon, anda the angle formed by the line and the ground. Graph the function for d6 the length of line needed to form an angle of 60. y 6 sec e- 6() - Use the definition of secant. Simplify Graph the function, Use the value feature. Real-World Connection Xmin 0 Xmax=90 Xscl-30 Some large parade balloons need more than 50 physically fit, trained handlers. Ymin 0 Ymax=30 X-60 Y=12 Yscl=3 • To form an angle of 60°, the line must be 12 ft long. Check Understanding O How long must the line be to form an angle of 60°? Of 45°? Of 5? EXERCISES For more practice, see Extra Practice Practice and Problem Solving A Practice by Example Evaluate each expression. Give your answer as a decimal rounded to the nearest hundredth. Example 1 (page 749) 1. csc 100° 2. csc 80° 3. cot (-55°) 4. sec 200 Evaluate each expression. Write your answer in exact form. 5. Suppose tan 0 = . Find cot 0. 6. Suppose sin 0= . Find csc 0. 7. Suppose cos 0 = -. Find sec 0. 8. Suppose tan 0 = . Find cot 6. Example 2 (page 750) Find the exact value of each expression. If the expression is undefined, write undefined. 9. sec 45° 10. cot 60° 11. cot 90° 12. sec 180° 13. csc 0° 14. csc 60° 15. cot 0" 16, cot 30 17. sec 90° 18. csc 30° 19. sec 60° 20. csc 45 Evaluate each expression to the nearest hundredth. Each angle is given in radians. Example 3 (page 750) 21. cot 3 22. sec n 23. csc5 24. sec (-) 25. sec 2.5 26. csc (-3.2) 27. cot 28. csc (-4.5) Graph each function in the interval from 0 to 2r. Example 4 (page 751) 29. y sec 20 30. y cot 0 31. y= csc 26 32. y esc 20 752 Chapter 13 Periodic Functions and Trigonometry wni, L, 35453
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