Graphs of Trigonometric Functions

Maths: Edexcel A Level Pure Maths, topic 5.2.5

Trigonometric Functions

To sketch trigonometric graphs (y = sin(x), y = cos(x), y = tan(x)) use x values which are multiples of 90° since these are the important points on the graph.

Tangent

Tangent

  • tan(x) repeats every 180°
  • There are vertical lines at 90°, 270°, ... because the function is undefined at these points.
sin(x)

sin(x)

  • sin(x) repeats every 360°.
sin(x) and cos(x)

sin(x) and cos(x)

  • cos(x) also repeats every 360°.
  • They have the same wave shape but the cosine graph is shifted by 90° compared to the sine graph.

Test yourself on Graphs of Trigonometric Functions

  • What type of graph is this?

  • What type of graph is this?

  • What type of graph is this?

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