Transformations of Trigonometric Functions (Edexcel AS Maths): Revision Note
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Transformations of Trigonometric Functions
Transformations of trigonometric functions
You should already have a good idea about translating, stretching and reflecting basic functions (see Transformations of Functions)
The basic principles are exactly the same for transforming any trigonometric graph
y = n cos x gives a vertical stretch or squash
y = sin nx gives a horizonal stretch or squash
y = tan (x + c) gives a horizonal translation
![Transformations of Trigonometric Functions Diagram 1b, A Level & AS Level Pure Maths Revision Notes](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2020/06/5.2.2-Transformations-of-Trigonometric-Functions-Diagram-1b.png)
![Transformations of Trigonometric Functions Diagram 1c, A Level & AS Level Pure Maths Revision Notes](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2020/06/5.2.2-Transformations-of-Trigonometric-Functions-Diagram-1c.png)
Examiner Tips and Tricks
Always sketch with a pencil and draw a smooth curve.
When you sketch the transformation of a graph, be sure to indicate the new coordinates of any points that are marked on the original graph.
Try to indicate the coordinates of points where the new graph intersects the axes.
Worked Example
![5-2-2-transformations-of-trigonometric-functions-example-solution](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2022/06/5-2-2-transformations-of-trigonometric-functions-example-solution.png)
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