Introduction | |
About This Book | |
Icons Explained | |
Letters to Students, Parents, and Teachers | |
About REA | |
Acknowledgments | |
Graphs of Points and Angles | |
Rectangular coordinate system | |
Types of angles | |
Radians | |
Test Yourself! | |
Basics of Trigonometric Ratios - Part 1 | |
Standard position of an angle | |
Quadrantal angles | |
Sine ratio | |
Test Yourself! | |
Basics of Trigonometric Ratios - Part 2 | |
Measurement of angles greater than 90° | |
Reference angles | |
Cosine ratio | |
Test Yourself! | |
Basics of Trigonometric Ratios - Part 3 | |
Tangent ratio | |
Relationship among the sine, cosine, and tangent ratios | |
Test Yourself! | |
Basics of Trigonometric Ratios - Part 4 | |
Cosecant ratio | |
Secant ratio | |
Cotangent ratio | |
Trigonometric identities | |
Test Yourself! | |
(Lessons 1-5) | |
Special Angles and Trigonometric Ratio Values | |
Trigonometric ratios for quadrantal angles | |
Trigonometric ratios for a 30°-60°-90° triangle | |
Trigonometric ratios for a 45°-45°-90° triangle | |
Test Yourself! | |
Inverse Trigonometric Values | |
Definition of the inverses of trigonometric ratios | |
Inverses of tangent, sine, and cosine ratios | |
Inverses of cotangent, cosecant, and secant ratios | |
Test Yourself! | |
Right Triangles - Part 1 | |
Solve for a missing side, given the values of two sides | |
Solve for a missing side, given the values of a side and an angle | |
Solve for a missing angle, given the values of two sides | |
Word problem applications | |
Test Yourself! | |
Right Triangles - Part 2 | |
Solve for missing angles or sides for two overlapping triangles | |
Solve for missing angles or sides for two triangles with a common side | |
Test Yourself! | |
(Lessons 6-9) | |
Oblique Triangles - Part 1 | |
Law of Sines | |
Solving for a side, given the values of two angles and a non-included side | |
Solving for a side, given the values of two angles and an included side | |
Solving for an angle, given the values of two sides and a non-included angle | |
Test Yourself! | |
Oblique Triangles - Part 2 | |
Law of Cosines | |
Solving for a side, given the values of two sides and an included angle | |
Solving for an angle, given the values of all three sides | |
Heron's formula for the area of a triangle | |
Test Yourself! | |
Four-Sided Figures | |
Solving for missing side or diagonal of a square | |
Solving for missing side, diagonal or angle of a rectangle | |
Solving for missing side, diagonal or angle of a rhombus | |
Solving for missing side, diagonal or angle of a parallelogram | |
Test Yourself! | |
(Lessons 10-12) | |
Trigonometric Equations - Part 1 | |
Solving linear equations in one trigonometric ratio | |
Solving simple quadratic equations in one trigonometric ratio | |
Solving quadratic equations in one trigonometric ratio by factoring | |
Test Yourself! | |
Trigonometric Equations - Part 2 | |
Solving equations in two trigonometric ratios, using identities | |
Test Yourself! | |
Trigonometric Equations - Part 3 | |
Solving linear equations in one trigonometric ratio of a double angle | |
Solving quadratic equations in one trigonometric ratio of a double angle by factoring | |
Solving quadratic equations in sine and cosine ratios of a double angle by factoring | |
Test Yourself! | |
(Lessons 13-15) | |
Cumulative Exam | |
Answer Key | |
Scorecard | |
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