This text starts with a right triangle approach to help students investigate and understand the trigonometric functions, their graphs, their relationships to one another, and ways in which they can be used in a variety of applications. Thoroughly revised throughout, the third edition builds on the strengths of previous editions while offering a new examples, problems, and real-world applications to make it more applied and visual.
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Editions-Typ
Illustrationen
Maße
Höhe: 241 mm
Breite: 210 mm
Gewicht
ISBN-13
978-0-534-34806-9 (9780534348069)
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Schweitzer Klassifikation
Right angle trigonometry: angles and degree measure; similar triangles; trigonometric ratios; right angle triangle applications; angles and arc length. Trigonometric functions: radian measure; trigonometric functions on a unit circle; fundamental identities; trigonometric functions of any angle. Graphs of trigonometric functions: graphs of the standard trigonometric functions; general cosine, sine, and tangent curves; trigonometric graphs; inverse trigonometric functions; cumulative review - chapters 1-3. Trigonometric equations and identities: trigonometric equations; trigonometric identities; addition laws; double-angle and half-angle identities; product and sum identities; Oblique triangles and vectors: law of cosines; law of sines; areas and volumes; vector triangles; vector operations. Complex numbers and polar-graphing form: the imaginary unit and complex numbers; De Moivre's theorem; polar coordinates; graphing polar coordinates; cumulative review - chapters 4-6. Logarithmic functions: exponential functions; exponential equations; logarithmic equations; hyperbolic functions. Appendixes: calculators; accuracy and rounding; review of algebra; review of geometry; selected answers.