By R. Barnett, et. al.,
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Extra resources for Analytic Trigonometry With Applns. 10th ed. [intro txt]
Work through all the problems in this chapter review and check answers in the back of the book. Answers to all review problems are there, and following each answer is a number in italics indicating the section in which that type of problem is discussed. Where weaknesses show up, review appropriate sections in the text. A 8. Explain why a triangle cannot have more than one obtuse angle. 9. , how tall is the building? 1. – 2. An arc of 81 the circumference of a circle subtends a central angle of how many degrees?
48. In the ﬁgure that follows, side a was found two ways: one using a and sine, and the other using b and cosine. The graphing calculator screen shows the two calculations, but there is an error. Explain the error and correct it. 8 cm 60. Without looking back in the text, show that for each acute angle u: 1 (A) csc u = (B) cos(90° - u) = sin u sin u 61. Without looking back in the text, show that for each acute angle u: 1 (A) cot u = (B) csc(90° - u) = sec u tan u 62. Without looking back in the text, show that for each acute angle u: 1 (A) sec u = (B) cot(90° - u) = tan u cos u a a ϭ 32Њ10Ј Geometric Interpretation of Trigonometric Ratios Problems 63–68 refer to the ﬁgure, where O is the center of a circle of radius 1, u is the acute angle AOD, D is the intersection point of the terminal side of angle u with the circle, and EC is tangent to the circle at D.
10. For the triangle shown here, identify each ratio: (A) sin (B) sec (C) tan (D) csc (E) cos (F) cot 3. Given two similar triangles, as shown in the ﬁgure, ﬁnd a if c = 20,000, a¿ = 4, and c¿ = 5. b a bЈ c aЈ 90Њ Ϫ u b u cЈ c a Figure for 3 Figure for 10 11. 2°. 4. Change 36°20Ј to decimal degrees (to two decimal places). 5. Write a deﬁnition of an angle of degree measure 1. 6. Which of the following triangles are similar? Explain why. B 12. 0 cm. 13. 00 in. long, how far does the tip of the hand travel in exactly 20 min?
Analytic Trigonometry With Applns. 10th ed. [intro txt] by R. Barnett, et. al.,