43. sec (-30°)

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 43-
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°.
ply Your Skills
Evaluate each expression. Write your 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 0
48. y = -sec TO
49. y = cot
g
Match each function with its graph.
50. y =
51. y = cos X
%3D
COS
sin x
52. y =
53. y =
tan x
sin x
В.
А.
UN
D.
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°. ply Your Skills Evaluate each expression. Write your 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 0 48. y = -sec TO 49. y = cot g Match each function with its graph. 50. y = 51. y = cos X %3D COS sin x 52. y = 53. y = tan x sin x В. А. UN D.
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