Trigonometry
     The Graph of the Function  y = a sin (b x + c)
         The function y = a sin x
         The function y = sin (b x)
         The function y = sin (x + c)
      The function y = a sin (b x + c)
     The Graph of the Function  y = a cos (b x + c)
      The graphs of the functions,  y = a sin (b x + c) and  y = a cos (b x + c), examples
 
     Trigonometric Functions and Inverse Trigonometric Functions
      Trigonometric functions graphs and relations
      The sine function and the cosine function graphs and relations
      The tangent function and the cotangent function graphs and relations
      The cosecant function and the secant function graphs and relations
         The cosecant function  y = csc x
         The graph of the cosecant function
         The secant function  y = sec x
         The graph of the secant function
      Inverse Trigonometric Functions or Arc-functions and their Graphs
         Inverse functions
      The arc-sine function and the arc-cosine function
         The arc-sine function  y = arcsin x or  y = sin-1x
         The arc-cosine function  y = arccos x or y = cos-1x
         The graph of the arc-sine function and the arc-cosine function
      The arc-tangent function and the arc-cotangent function
         The arc-tangent function  y = arctan x or  y = tan-1x
         The arc-cotangent function  y = arccot x or y = cot-1x
         The graph of the arc-tangent function and the arc-cotangent function
      The arc-cosecant function and the arc-secant function
         The graph of the arc-cosecant and the arc-secant function
 
Trigonometric Equations
 
      Basic Trigonometric Equations
         The equation  sin x = a
         The equation  cos x = a
         The equation  tan x = a
         The equation  cot x = a
      The Equations,  sin (bx + c) = m,  -1 <  m < 1,   cos (bx + c) = m,  -1 <  m < 1,
                                  tan (bx + c) = m   and   cot (bx + c) = mwhere b, c and m are real numbers.
         The Equation  sin (bx + c) = m,  -1 <  m < 1, example
         The Equation  cos (bx + c) = m,  -1 <  m < 1, example
         The Equation  tan (bx + c) = m, example
         The Equation  cot (bx + c) = m, example
      Equations of the type  a cos x + b sin x = c
         Introducing an auxiliary angle method
         Introducing an auxiliary angle method example
      Equations that can be written as  f · g = 0
      Trigonometric equations of quadratic form
         Introducing new unknown  t = tan x/2
         Introducing new unknown  t = tan x/2 example
      Homogeneous equations in sin x and cos x
         Homogeneous equations of first degree  a sin x + b cos x = 0
         Homogeneous equations of second degree  a sin2 x + b sin x cos x + c cos2 x = 0
      The basic strategy for solving trigonometric equations
         Trigonometric equations examples
 
Copyright © 2004 - 2020, Nabla Ltd.  All rights reserved.