Trigonometry
Trigonometric Functions Unit of measurement of angles - a radian (the circular measure)
Protractor - an instrument for measuring angles The unit circle or trigonometric circle
Division of the circumference of the unit circle to the characteristic angles Definitions of trigonometric functions Periodicity of trigonometric functions Signs of trigonometric functions
The table of signs of trigonometric functions Trigonometric functions of arcs from  0 to ± 2p Trigonometric functions of negative arcs or angles Trigonometric functions of complementary angles Trigonometric functions of supplementary angles
p/2
p
2p
Trigonometric functions values and identities examples
Trigonometric functions of angles lying on axes p/6, p/4 and p/3
30° (p/6) and 45° (p/4) Calculation of values of trigonometric functions
Trigonometric reduction formulas - the reference angles
Calculation of values of trigonometric functions of an arbitrary angle x, examples Basic relationships between trigonometric functions of the same angle
Basic relationships between trigonometric functions of the same angle shown in the unit circle
Basic relationships between trigonometric functions of the same angle shown in the tabular form
Basic relationships between trigonometric functions of the same angle, examples The addition formulas and related identities
The sum and difference formulas for the trigonometric functions
Deriving the addition formulas for sine and cosine functions Trigonometric functions of double angles, double angle formulas
Trigonometric functions expressed by the half angle

Trigonometric functions expressed by the tangent of the half angle Half angle formulas Trigonometric functions expressed by the cosine of the double angle Sum to product and product to sum formulas or identities
Sum to product formulas for the sine and the cosine functions
Sum to product formulas for the tangent and the cotangent functions The product to sum formulas for the sine and cosine functions Trigonometric identities examples

Graphs of Trigonometric Functions
f (x) = sin x Properties of the sine function
Domain and range of the sine function
Zeros of the sine function
Extremes, maximum and minimum of the sine function
Parity and periodicity of the sine function Behavior of the sine function
The Graph of the Cosine Function  f (x) = cos x Properties of the cosine function
Domain and range of the cosine function
the cosine function

Parity and periodicity of the cosine function Behavior of the cosine function
The Graph of the Tangent Function  f (x) = tan x  The tangent function behavior and monotony
f (x) = cot x Properties of the cotangent function
Domain and range
Zeros of the cotangent function The cotangent function behavior and monotony    