HSC Extension 1 and 2 Mathematics/Trigonometric functions

Radian measure of an angle 2π radians in a revolution Arc length and area of a sector of a circle Where θ is in radians Area of a segment of a circle Minor segment Where θ is in radians Major segment Where θ is in radians Definitions of trigonometric functions In mathematics, the trigonometric functions (also called circular functions) are functions of an angle. They are used to relate the angles of a triangle to the lengths of the sides of a triangle. Trigonometric functions are important in the study of triangles and modeling periodic phenomena, among many other applications. Symmetry properties of trigonometric functions Some exact values Graphs of trigonometric functions Graphs of y = a sin bx and y = a cos bx Graphs of y = a sin b(x + c) and y = a cos b(x + c) Graphical solution of equations Derivative of sin x and cos x Derivative of tan x Derivative of sin (ax + b) Derivative of cos (ax + b) Functions defined by integrals (indefinite integrals) Primitives of trigonometric functions Approximate integration