Trigonometry Study Guide (Mobi Study Guides)

Boost Your grades with this illustrated Study Guide. You will use it from high school all the way to graduate school and beyond. FEATURES:- Clear and concise explanations - Difficult concepts are explained in simple terms - Illustrated with graphs and diagrams - Search for the words or phrases - Access the guide anytime, anywhere - at home, on the train, in the subway. - Use your down time to prepare for an exam. - Always have the guide available for a quick reference. TABLE OF CONTENTS:Introduction: Overview Basic definitions Extending the definitions Mnemonics Pi RadianTrigonometric Function Definitions: Right triangle definitions Unit-circle definitionsTrigonometric Identities: Notation Periodicity, symmetry, and shifts Linear combinations Pythagorean identities Angle sum and difference identities Tangents of sums of finitely many terms Sines and cosines of sums of infinitely many terms Double-angle formulae Triple-angle formulae Multiple-angle formulae Power-reduction formulae Half-angle formulae Product-to-sum identities Ptolemy's theorem Sum-to-product identities Other sums of trigonometric functions Inverse trigonometric functions Trigonometric conversions Infinite product formula Relation to the Complex Exponential Function Identities without variables Exponential DefinitionsInverse Trigonometric Function: Relationships among the inverse trigonometric functions General solutions Recommended method of calculation Two argument variant of arctangent Logarithmic formsTrigonometric Function Applications: Computation Exact Trigonometric Constants Law of sines Law of cosines Law of tangentsPeriodic Functions: General definition Antiperiodic functions and other generalizations Amplitude Frequency Wavelength Sine wavePolar coordinate system: Plotting points with polar coordinates Converting between polar and Cartesian coordinates Polar equations Circle Line Polar rose Archimedean spiral Conic sections Complex numbers Three dimensions Cylindrical coordinates Spherical coordinates ApplicationsSpherical Trigonometry: Lines on a sphere Law of Cosines and Law of Sines Central AngleGreat-circle Distance: The formula Spherical distance on the Earth Spherical coordinates Haversine Formula