Ebook: Schaum's outlines: trigonometry with calculator-based solutions

1: Angles and applications -- 1-1: Introduction -- 1-2: Plane angle -- 1-3: Measures of angles -- 1-4: Arc length -- 1-5: Lengths of arcs on a unit circle -- 1-6: Area of a sector -- 1-7: Linear and angular velocity -- 2: Trigonometric functions of a general angle -- 2-1: Coordinates on a line -- 2-2: Coordinates in a plane -- 2-3: Angles in standard position -- 2-4: Trigonometric functions of a general angle -- 2-5: Quadrant signs of the functions -- 2-6: Trigonometric functions of quadrantal angles -- 2-7: Undefined trigonometric functions -- 2-8: Coordinates of points on a unit circle -- 2-9: Circular functions -- 3: Trigonometric functions of an acute angle -- 3-1: Trigonometric functions of an acute angle -- 3-2: Trigonometric functions of complementary angles -- 3-3: Trigonometric functions of 30 degrees, 45 degrees, and 60 degrees -- 3-4: Trigonometric function values -- 3-5: Accuracy of results using approximations -- 3-6: Selecting the function in problem solving -- 3-7: Angles of depression and elevation -- 4: Solutions of right triangles -- 4-1: Introduction -- 4-2: Four-place tables of trigonometric functions -- 4-3: Tables of values for trigonometric functions -- 4-4: Using tables to find an angle given a function value -- 4-5: Calculator values of trigonometric functions -- 4-6: Find an angle given a function value using a calculator -- 4-7: Accuracy in computed results -- 5: Practical applications -- 5-1: Bearing -- 5-2: Vectors -- 5-3: Vector addition -- 5-4: Components of a vector -- 5-5: Air navigation -- 5-6: Inclined plane -- 6: Reduction to functions of positive acute angles -- 6-1: Coterminal angles -- 6-2: Functions of a negative angle -- 6-3: Reference angles -- 6-4: Angles with a given function value -- 7: Variation and graphs of the trigonometric functions -- 7-1: Line representations of trigonometric functions -- 7-2: Variations of trigonometric functions -- 7-3: Graphs of trigonometric functions -- 7-4: Horizontal and vertical shifts -- 7-5: Periodic functions -- 7-6: Sine curves;8: Basic relationships and identities -- 8-1: Basic relationships -- 8-2: Simplification of trigonometric expressions -- 8-3: Trigonometric identities -- 9: Trigonometric functions of two angles -- 9-1: Addition formulas -- 9-2: Subtraction formulas -- 9-3: Double-angle formulas -- 9-4: Half-angle formulas -- 10: Sum, difference, and product formulas -- 10-1: Products of sines and cosines -- 10-2: Sum and difference of sines and cosines -- 11: Oblique triangles -- 11-1: Oblique triangles -- 11-2: Law of sines -- 11-3: Law of cosines -- 11-4: Solution of oblique triangles -- 12: Area of a triangle -- 12-1: Area of a triangle -- 12-2: Area formulas -- 13: Inverses of trigonometric functions -- 13-1: Inverse trigonometric relations -- 13-2: Graphs of the inverse trigonometric relations -- 13-3: Inverse trigonometric functions -- 13-4: Principal-value range -- 13-5: General values of inverse trigonometric relations -- 14: Trigonometric equations -- 14-1: Trigonometric equations -- 14-2: Solving trigonometric equations -- 15: Complex numbers -- 15-1: Imaginary numbers -- 15-2: Complex numbers -- 15-3: Algebraic operations -- 15-4: Graphic representation of complex numbers -- 15-5: Graphic representation of addition and subtraction -- 15-6: Polar or trigonometric form of complex numbers -- 15-7: Multiplication and division in polar form -- 15-8: De Moivre's theorem -- 15-9: Roots of complex numbers -- Appendix 1: Geometry -- A1-1: Introduction -- A1-2: Angles -- A1-3: Lines -- A1-4: Triangles -- A1-5: Polygons -- A1-6: Circles -- Appendix 2: Tables -- Table 1: Trigonometric functions: angle in 10-minute intervals -- Table 2: Trigonometric functions: angle in tenth of degree intervals -- Table 3: Trigonometric functions: angle in hundredth of radian intervals -- Index.