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Trig Overview

Graphs HOME | Achievement Objectives | Parabola Graphs | Parabola Questions | Cubics | Hyperbola | Circles | Exponential | Logs | Radians | Trig Graphs Overview | Trig Vertical Shift | Trig Horizontal Shift | Trig Equations | Trig Models | General Translations | Applications | Revision

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Overview & Trig Graphs

Topic overview, Assessment criteria ,
The three basic trig graphs: y=Sin(x), y=Cos(x), y=Tan(x)
Key features: Amplitude, period, cyclic nature, max & minimum values or asymptotes.
Feature of symmetry and repeating values

Remember to define the Domain if you write the equation for part of a trig graph.


Class Notes | Blank Notes

Ex 34.01

p153

Achievement Criteria

basic trig graphs

All 3 trig graphs | Tracing the graphs

Jump down to... Sin Function  | Cosine Function | Tangent Function

Sine Function

All 3 trig graphs | Tracing the trig graphs

A triangle with hypotenuse length 1
The hypotenuse is rotated in a circle (unit circle)
The height (a in red) of the triangle is Sin the angle
(Angle measured from the x axis in an anticlockwise direction)
(Note: the x axis is in radians)

 

The Sine Function and The Unit Circle

The Sine

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Cosine Function

A triangle with hypotenuse length 1
The hypotenuse is rotated in a circle (unit circle)
The base (b in blue) of the triangle is Cos the angle
(Angle measured from the x axis in an anticlockwise direction)
 

(Note: the x axis is in radians)

 

The Cosine Function and The Unit Circle

The Cosine

 

 

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Tangent Function

A triangle with hypotenuse length 1
The hypotenuse is rotated in a circle (unit circle)
The base (b in blue) divided by the height (a in red) of the triangle is Tan the angle
(Angle measured from the x axis in an anticlockwise direction)
 

(Note: the x axis is in radians)

Quadrants in degrees and Quadrants in radians

 

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