By Frank Ayres, Robert E. Moyer
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Additional resources for Schaum's Outline of Trigonometry (5th Edition) (Schaum's Outline Series)
6345. 10, to the nearest hundredth. 50Њ. (See Prob. 5 Calculator Values of Trigonometric Functions Calculators give values of trigonometric functions based on the number of digits that can be displayed, usually 8, 10, or 12. The number of decimal places shown varies with the size of the number but is usually at least four. When a calculator is used in this book, all trigonometric function values shown will be rounded to six digits unless the value is exact using fewer digits. 13 Find sin 24Њ40Ј.
If your access to a calculator is restricted, then focus only on the manual solutions. In the calculator solutions, steps are shown to illustrate the procedures rather than as a guide to work steps that need to be shown. 10 When the sun is 20Њ above the horizon, how long is the shadow cast by a building 50 m high? Fig. 14 34 CHAPTER 3 Trigonometric Functions of an Acute Angle In Fig. 14, A ϭ 20Њ, CB ϭ 50, and AC is to be found. 75) (NOTE: The difference in the answers for the two procedures is because cot 20Њ was rounded to two decimal places in the table.
Cos u and cot u are both negative? Ans. 23 (a) II; ϩ, Ϫ, Ϫ; (e) II; ϩ, Ϫ, Ϫ; (a) I, (b) I, (c) III, (e) (f) (g) (h) (d) II, tan u is positive and sec u is negative? tan u is negative and sec u is positive? sin u is positive and cos u is negative? sec u is positive and csc u is negative? (e) III, (ƒ) IV, (g) II, Denote by u the smallest positive angle whose terminal side passes through the given point, and find the trigonometric functions of u: (a) P(Ϫ5, 12), Ans. 24 (h) IV Find the values of the trigonometric functions of u, given: (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) sin u ϭ 7/25 cos u ϭ Ϫ4/5 tan u ϭ Ϫ5/12 cot u ϭ 24/7 sin u ϭ Ϫ2/3 cos u ϭ 5/6 tan u ϭ 3/5 cot u ϭ 26>2 sec u ϭ Ϫ 25 csc u ϭ Ϫ2> 23 ϭ Ϫ2 23>3 Ans.
Schaum's Outline of Trigonometry (5th Edition) (Schaum's Outline Series) by Frank Ayres, Robert E. Moyer