AQA A Level Maths: Pure复习笔记5.2.2 Transformations of Trigonometric Functions

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

    5.2.2-Transformations-of-Trigonometric-Functions-Diagram-1a

5.2.2-Transformations-of-Trigonometric-Functions-Diagram-1b

5.2.2-Transformations-of-Trigonometric-Functions-Diagram-1c

Exam Tip

  • 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

 

 

 

 

 

 

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