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