Trigonometry Tags

Geometric and algebraic foundations for trigonometry

• Similar figures
• The Pythagorean theorem & its converse
• Radians, converting radians & degrees
• Arc length, sector area, angular and linear velocity
• Reference angles (using coterminal angles)

Trigonometric functions

• Unit circle
• Sine & cosine functions - definitions, graphs, & properties
• Tangent & cotangent functions - definitions, graphs, & properties
• Secant & cosecant functions - definitions, graphs, & properties
• Inverse trigonometric functions - definitions, graphs, & properties
• Combinations and compositions of functions
• Trigonometric functions of special angles
• Trigonometric functions of non-special angles

Triangle trigonometry

• Sine, cosine, and tangent of an angle in a right triangle
• Law of sines
• Law of cosines
• Area of a triangle

Analytic trigonometry

• Double-angle & half-angle formulas
• Addition & subtraction formulas
• Solving trigonometric equations exactly
• Solving trigonometric equations numerically
• Solving trigonometric inequalities exactly
• Solving trigonometric inequalities numerically
• Product-to-sum & sum-to-product formulas

Polar coordinates & vectors

• Polar and rectangular coordinates
• Curves
• Inequalities