49. y = cot { 4 o3

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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Number 49-
Example 5
(page 751)
Use the graph of the appropriate reciprocal trigonometric function to find
each value. Round to four decimal places.
33. sec 30
34. sec 80
35. sec 110
36. csc 30
37. csc 70
38. csc 130
39, cot 30
40. cot 60
Example 6
(page 752)
41. Indirect Measurement A communications tower has wires anchoring it to the
ground. Each wire is attached to the tower at a height 20 ft above the ground.
The length y of the wire is modeled with the function y 20 csc 0, where 0 is
the measure of the angle formed by the wire and the ground.
a. Graph the function.
b. Find the length of wire needed to form an angle of 45°.
c. Find the length of wire needed to form an angle of 60°.
d. Find the length of wire needed to form an angle of 75°.
Apply Your Skills
Evaluate each expression. Write vour answer in exact form. If appropriate, also
state it as a decimal rounded to the nearest hundredth. If the expression is
undefined, write undefined.
42. cot (-45°)
43. sec (-30°)
44. csc (-90°)
45. sec (-180°)
Graph each function in the interval from 0 to 2r.
46. y = csc 0 - 5
47. y = sec
sec40
48. у 3D - seс пе
49. y = cot
Match each function with its graph.
50. y
51. y = cos x
sin x
53. y
tan x
52. y =
sin x
В.
А.
D.
C.
the domain, range, and period of v = csc r?
Transcribed Image Text:Example 5 (page 751) Use the graph of the appropriate reciprocal trigonometric function to find each value. Round to four decimal places. 33. sec 30 34. sec 80 35. sec 110 36. csc 30 37. csc 70 38. csc 130 39, cot 30 40. cot 60 Example 6 (page 752) 41. Indirect Measurement A communications tower has wires anchoring it to the ground. Each wire is attached to the tower at a height 20 ft above the ground. The length y of the wire is modeled with the function y 20 csc 0, where 0 is the measure of the angle formed by the wire and the ground. a. Graph the function. b. Find the length of wire needed to form an angle of 45°. c. Find the length of wire needed to form an angle of 60°. d. Find the length of wire needed to form an angle of 75°. Apply Your Skills Evaluate each expression. Write vour answer in exact form. If appropriate, also state it as a decimal rounded to the nearest hundredth. If the expression is undefined, write undefined. 42. cot (-45°) 43. sec (-30°) 44. csc (-90°) 45. sec (-180°) Graph each function in the interval from 0 to 2r. 46. y = csc 0 - 5 47. y = sec sec40 48. у 3D - seс пе 49. y = cot Match each function with its graph. 50. y 51. y = cos x sin x 53. y tan x 52. y = sin x В. А. D. C. the domain, range, and period of v = csc r?
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