Trigonometry
     Trigonometric Functions
      Unit of measurement of angles - a radian (the circular measure)
         Protractor - an instrument for measuring angles
         Degrees to radians and radians to degrees conversion examples
      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
         Trigonometric functions of arcs that differ on p/2
         Trigonometric functions of arcs that differ on p
         Trigonometric functions of arcs whose sum is 2p
         Trigonometric functions values and identities examples
         Trigonometric functions of angles lying on axes
      Values of trigonometric functions of arcs p/6, p/4 and p/3
         The values of the trigonometric functions of arcs that are multipliers of 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
         The addition formulas for tangent and cotangent functions
      Trigonometric functions of double angles, double angle formulas
         Trigonometric functions expressed by the half angle
         Trigonometric functions of double angles expressed by the tangent function
         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
     The Graph of the Sine Function  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
         Zeros of the cosine function
         Extremes, maximum and minimum of 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
      Properties of the tangent function
         Domain and range of the tangent function
         Zeros of the tangent function
         Parity and periodicity of the tangent function
      The tangent function behavior and monotony
     The Graph of the Cotangent Function  f (x) = cot x
      Properties of the cotangent function
         Domain and range
         Zeros of the cotangent function
         Parity and periodicity of the cotangent function
      The cotangent function behavior and monotony
 
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