Graphs of Trigonometric Functions (Edexcel AS Maths): Revision Note
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Graphs of Trigonometric Functions
Graphs of trigonometric functions
The Trigonometric Functions Sin, Cos and Tan all have special periodic graphs that you need to be able to sketch and remember
You’ll need to know their properties and how to sketch them to solve equations and for transforming trig functions
Sketching trigonometric graphs
Using trigonometric graphs
By sketching the graph you can read off all the solutions in a given range (or interval)
Your calculator will only give you the principal value
You should recognise any values/angles associated with exact values
You should be able to spot the pattern of solutions using the symmetry and periodicity of the graph
Examiner Tips and Tricks
Always sketch with a pencil and draw a smooth curve and pay attention to the key features of each graph:
Where it crosses the x and y axes
How often it repeats
Whether it is symmetrical
Remember, when answering exam questions that ask for solutions, a sketch will help ensure you give all the appropriate solutions for a given interval.
Worked Example
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