HSC Extension 1 and 2 Mathematics/Trigonometric functions
Radian measure of an angle edit
2π radians in a revolution
Arc length and area of a sector of a circle edit
- Where θ is in radians
Area of a segment of a circle edit
Minor segment edit
- Where θ is in radians
Major segment edit
- Where θ is in radians
Definitions of trigonometric functions edit
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 edit
Some exact values edit
Graphs of trigonometric functions edit
Graphs of y = a sin bx and y = a cos bx edit
Graphs of y = a sin b(x + c) and y = a cos b(x + c) edit
Graphical solution of equations edit
Derivative of sin x and cos x edit
Derivative of tan x edit
Derivative of sin (ax + b) edit
Derivative of cos (ax + b) edit