# HSC Extension 1 and 2 Mathematics/Trigonometric functions

## Radian measure of an angleEdit

2π radians in a revolution

## Arc length and area of a sector of a circleEdit

- Where θ is in radians

## Area of a segment of a circleEdit

### Minor segmentEdit

- Where θ is in radians

### Major segmentEdit

- Where θ is in radians

## Definitions of trigonometric functionsEdit

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 functionsEdit

## Some exact valuesEdit

## Graphs of trigonometric functionsEdit

## Graphs of y = a sin bx and y = a cos bxEdit

## Graphs of y = a sin b(x + c) and y = a cos b(x + c)Edit

## Graphical solution of equationsEdit

## Derivative of sin x and cos xEdit

## Derivative of tan xEdit

## Derivative of sin (ax + b)Edit

## Derivative of cos (ax + b)Edit