Trigonometric functions and the unit circle
Graphs of trigonometric functions
Trigonometric identities and equations
Polar coordinates and complex numbers.
The basic tools. What is trigonometry? ; Geometry tools needed to study trigonometry ; Algebra tools needed to study trigonometry
Triangle trigonometry. Trigonometric functions and right triangles ; Relations among trigonometric ratios ; The law of sines ; The law of cosines
Trigonometric functions and the unit circle. Angles and rotations ; The unit circle approach ; Trigonometric functions of any angle
Graphs of trigonometric functions. Graphs of sine and cosine functions ; Graphs of other trigonometric functions ; Graphs of inverse trigonometric functions
Trigonometric identities and equations. Kaleidoscope of identities ; Verifying trigonometric identities ; Solving trigonometric equations ; Sum and difference formulas ; Double-angle and power-reducing ; Half-angle and product-to-sum formulas
Polar coordinates and complex numbers. Polar coordinates ; Complex numbers and operations with them ; Trigonometry and calculators.
