Trigonometry Demystified: A Self-Teaching Guide

Trigonometry Demystified: A Self-Teaching Guide

Stan Gibilisco

Language: English

Pages: 321


Format: PDF / Kindle (mobi) / ePub

Text provides a totally painless way to learn the fundamentals and general concepts of trigonometry. Uses prose and illustrations to describe the concepts, offers questions at the end of each chapter and section, and includes a 100-question self-test. Softcover.

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Answers are in the back of the book. 1. The sine function and the tangent function (a) have identical shapes when graphed (b) have different ranges (c) have identical domains (d) are inverses of each other 2. The restrictions on the domain and range of the inverse circular func- tions are necessary in order to ensure that: (a) no negative angles are involved (b) they never ‘‘blow up’’ [10:55 6/6/03 n:4070 GIBILISCO.751/4070-Alltext.3d] Ref: 4070 Gibiliscso Trigonometry Demystified

technically are not part of the meridian, are the south geographic pole and the north geographic pole. (The poles themselves have undefined longitude.) All meridians have the same radius, which is equal to the radius of the earth, approximately 6371 kilometers. All the meridians converge at the poles. The distance between any particular two meridians, as measured along a particular parallel, depends on the latitude of that parallel. The distance between equal-latitude points on any two

spherical angles opposite those sides. This rule is known as the spherical law of sines. It bears some resemblance to the law of sines for ordinary triangles in a flat plane. [10:55 6/6/03 n:4070 GIBILISCO.751/4070-Alltext.3d] Ref: 4070 Gibiliscso Trigonometry Demystified All-text Page: 239 1-297 240 CHAPTER 11 Global Trigonometry Fig. 11-9. The law of sines and the law of cosines for spherical triangles. SPHERICAL LAW OF COSINES The spherical law of cosines is another

two waves defined by the following functions: y ¼ sin x y ¼ cos ðÀ4xÞ [10:55 6/6/03 n:4070 GIBILISCO.751/4070-Alltext.3d] Ref: 4070 Gibiliscso Trigonometry Demystified All-text Page: 253 1-297 254 Test: Part Two (a) 0 (b) 45 (c) 90 (d) 180 (e) It is undefined, because the two waves do not have the same frequency 11. What is the square root of 29, truncated (not rounded) to two signifi- cant figures? (a) 5.3 (b) 5.38 (c) 5.4 (d) 5.39 (e) None of the above 12. Imagine

critical angle, 209, 212 error cross product, 118–119, 156–157 absolute, 153 curve, 5 percentage, 154 cycles per second, 186 proportional, 153 cylindrical coordinates, 104–105 error accumulation, 75 Euclidean geometry, 23 declination exponent in astronomy, 101–102, 105–106 notation, 139–141 in azimuth bearings, 93 plain-text, 142–143 degree exponential function, 58, 64 of arc, 10 per second, 188 farad, 198 of phase, 187–188 four-leafed rose [10:55 6/6/03 n:4070

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