Trigonometry, trigonometric functions and equations

trigonometry, trigonometric functions, calculation of values of trigonometric functions, trigonometric reduction formulas, reference angles, calculation of values of trigonometric functions of arbitrary angle x examples, relationships between trigonometric functions of the same angle, relationships between trigonometric functions of the same angle shown in unit circle, relationships between trigonometric functions of the same angle shown in the tabular form, relationships between trigonometric functions of the same angle examples, addition formulas and related identities, sum and difference formulas for trigonometric functions, deriving addition formulas for sine and cosine functions, addition formulas for tangent and cotangent functions, trigonometric functions of double angles, double angle formulas, trigonometric functions expressed by half angle, trigonometric functions of double angles expressed by tangent function, trigonometric functions expressed by tangent of half angle, half angle formulas, trigonometric functions expressed by cosine of double angle, sum to product and product to sum formulas or identities, sum to product formulas for sine and cosine functions, sum to product formulas for tangent and cotangent functions, product to sum formulas for sine and cosine functions, trigonometric identities examples, graphs of trigonometric functions, graph of sine function f(x) = sin x, properties of sine function, domain and range of sine function, roots or zeros of sine function, extremes maximum and minimum of sine function, parity and periodicity of sine function, behaviour of sine function, graph of cosine function f(x) = cos x, properties of cosine function, domain and range zeros of cosine function, roots or zeros of cosine function, extremes maximum and minimum of cosine function, parity and periodicity of cosine function, behaviour of cosine function, graph of tangent function f(x) = tan x, properties of tangent function, domain and range of tangent function, roots or zeros of tangent function, parity and periodicity of tangent function, tangent function behavior and monotony, graph of cotangent function f(x) = cot x, properties of cotangent function, domain and range of cotangent function, roots or zeros of cotangent function, parity and periodicity of cotangent function, cotangent function behavior and monotony, graph of function y = asin (bx + c), graph of function y = asin x, graph of function y = sin bx, graph of function y = sin (x + c), graph of function y = asin (bx + c), graph of function y = acos (bx + c), graphs of functions y = asin (bx + c) and y = acos (bx + c) examples, trigonometric functions and inverse trigonometric functions, trigonometric functions graphs and relations, sine function and cosine function graphs and relations, tangent function and cotangent function graphs and relations, cosecant function and secant function graphs and relations, cosecant function y = csc x, graph of cosecant function, secant function y = sec x, graph of secant function, inverse trigonometric functions or arc-functions and their graphs, inverse trigonometric functions arc-functions, arc-sine function and arc-cosine function, arc-sine function y = arcsin x, arc-cosine function y = arccos x, graph of arc-sine function and arc-cosine function, arc-tangent function and arc-cotangent function, arc-tangent function y = arctan x, arc-cotangent function y = arccot x, graph of arc-tangent function and arc-cotangent function, arc-cosecant function and arc-secant function, graph of arc-cosecant and arc-secant function, trigonometric equations, basic trigonometric equations, equation sin x = a, equation cos x = a, equation tan x = a, equation cot x = a, equations sin (bx + c) = m, equation cos (bx + c) = m, equation tan (bx + c) = m, equation cot (bx + c) = m where b c and m are real numbers, equations that can be written as f * g = 0, trigonometric equations of quadratic form, equations of type a cos x + b sin x = c,