5.2.5

Graphs of Trigonometric Functions

Test yourself

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.

Illustrative background for TangentIllustrative background for Tangent ?? "content

Tangent

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

sin(x)

  • sin(x) repeats every 360°.
Illustrative background for sin(x) and cos(x)Illustrative background for sin(x) and cos(x) ?? "content

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.

Jump to other topics

1Proof

2Algebra & Functions

2.1Powers & Roots

2.2Quadratic Equations

2.3Inequalities

2.4Polynomials

2.5Graphs

2.6Functions

2.7Transformation of Graphs

2.8Partial Fractions (A2 Only)

3Coordinate Geometry

4Sequences & Series

5Trigonometry

6Exponentials & Logarithms

7Differentiation

8Integration

9Numerical Methods

10Vectors

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