Graphs of trigonometric functions, Graph of sine function, Properties of sine function, Domain and range of sine function, Roots of sine function, Maximums and minimums of sine function, Parity and periodicity of sine function, Behaviour of sine function, Graph of cosine function, Properties of cosine function, Domain and range of cosine function, Roots or zeros of cosine function, Maximums and minimums of cosine function, Parity and periodicity of cosine function, Behaviour of cosine function, Graph of tangent function, Properties of tangent function, Domain and range of tangent function, Roots of tangent function, Parity and periodicity of tangent function, Tangent function behaviour and monotony, Graph of cotangent function, Properties of cotangent function, Domain and range of cotangent function, Roots or zeros of cotangent function, Parity and periodicity of cotangent function, Cotangent function behaviour and monotony, Graph of function f(x) = a sin(b x + c), Graph of function f(x) = a sin x, Graph of function f(x) = sin bx, Graph of function f(x) = sin (x + c), Graph of function f(x) = a cosin(b x + c), Graphs of function f(x) = a sin(b x + c) and f(x) = a cosin(b x + c) examples, Inverse trigonometric functions, Trigonometric functions graphs and relations, Graphs of sine and cosine function relations, Graphs of tangent and cotangent function relations, Graphs of cosecant and secant function relations, Graph of cosecant function, Graph of secant function, graphs of arc functions, Graph of arc-sine function, Graph of arc-cosine function, Graph of arc-tangent function, Graph of arc-cotangent function, Graph of arc-cosecant function, graph of arc-secant function, Trigonometric equations, Basic trigonometric equations, Equation sin x = a, Equation cos x = a, Equation tan x = a, Equation cot x = a, Equation sin(b x + c) = m, Equation cos(b x + c) = m, Equation tan(b x + c) = m, Equation cot(b x + c) = m, Trigonometric equations that can be written f * g = 0, Trigonometric equations of quadratic form, Trigonometric equations type a cos x + b sin x = c, Trigonometric equations use of auxiliary angle method, Trigonometric equations use of new variable t = tan x/2, Homogenous trigonometric equations in sin x and cos x, Homogenous trigonometric equations of first degree a sin x + b cos x = 0, Homogenous trigonometric equations of second degree, a sin2 x + b sin x cos x + cos2 x = 0, Basic strategy for solving trigonometric equations, Trigonometric equations examples

Pre-calculus Contents G

Graphs of Trigonometric Functions

The Graph of the Sine Function f (x) = sin x

Properties of the sine function

Domain and range

Zeros of the 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

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 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 of the cotangent function

Zeros of the cotangent function

Parity and periodicity of the cotangent function

The cotangent function behavior and monotony

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 = arc sin x or y = sin^-1x

The arc-cosine function y = arc cos 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 = arc tan x or y = tan^-1x

The arc-cotangent function y = arc cot 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) = m, where 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 that Can be Written as f · g = 0

Trigonometric Equations of Quadratic Form

Equations of the Type a cos x + b sin x = c

Introducing an auxiliary angle method

Introducing an auxiliary angle method example

Use of sum to product and product to sum formulas to solve trigonometric equations

Introducing new unknown t = tan x/2

Introducing new unknown t = tan x/2 example

Applying products as sums formula to solve trigonometric equations

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 sin²x + b sin x cos x + c cos²x = 0

Applying different trigonometric identities to solve trigonometric equations

The Basic Strategy for Solving Trigonometric Equations

Trigonometric equations examples

Pre-calculus Contents