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内容提要:
This classic text encompasses the most important aspects of plane and spherical trigonometry in a question-and-answer format, lts913 specially selected questions appear with detailed answers that help readers refresh their trigonometry skills or clear up difficulties in particular areas.
The first part discusses plane trigonometry, covering angles, quadrants, trigonometric functions, graphical representations, interpolation, equations, logarithms, solution of triangles, and similar topics. Questions and answers in the middle section discuss the application of plane trigonometry to special problems in navigation, surveying, elasticity, architecture, and various fields of engineering. Small angles, periodic functions, vectors, polar coordinates, and De Moivre's theorem receive full treatments. The third and final section explores spherical trigonometry and the solution of spherical triangles, with applications to terrestrial and astronomical problems. Suitable for use as an undergraduate text, Trigonometry Refresher also features time-saving methods for numerical calculations, a simplified approach to the principal functions of an angle by use of a "shadow and perpendicular" concept, and several other practical aids—including 1,738 problems, many with solutions. 目录:
PREFACE
SECTION Ⅰ PLANE. TRIGONOMETRY CHAPTER ANGLES AND THEIR MEASUREMENT RELATIONSHIPS OF ANGULAR MEASUREMENTS CARTESIAN COORDINATES--QUADRANTS FUNDAMENTAL TRIGONOMETRIC FUOCTIONS RELATED ANGLES FUNCTIONS OF CERTAIN ANGLES GRAPHICAL REPRESENTATION OF FUNCTIONS--PERIODICITY FUNDAMENTAL IDENTITIES--IMPORTANT RELA-TIONS OF ANALYTICAL TRIGONOMETRY OF FRE-QUENT OCCURRENCE INTERPOLATION--BAsICIPRINCIPAL AND GENERAL ANGLES--INVERSE-FUNCTION NOTATION TRIGONOMETRIC EQUATIONS LOGARITHMS SIGNIFICANT FIGURES--AccuRACY IN COMPUTA- TIONS SLIDE RULE SOLUTION OF TRIANGLES SECTION Ⅱ APPLICATIONS OF PLANE TRIGONOMETRY SMALL ANGLES PERIODIC FUNCTIONS VECTORS AND VECTOR QUANTITIES DISTANcE--ANGULAR MEASUREMENT---SuRvEYING NAVIGATION MISCELLANEOUS PROBLEMS POLAR COORDINATES- COMPLEX NUMBERS-DE MOIVRE'S THEOREM--SERIES SECTION Ⅲ SPHERICAL TRIGONOMETRY INTRODUCTION SPHERICAL TRIANGLES APPLICATIONS OF SPHERICAL TRIGONOMETRY APPENDIX Customary definitions of the trigonometric functions of an acute angle Formulas used in the text Tables ANSWERS TO 0DD-NUMBERED PROBLEMS INDEX |