2.5.7

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.

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Tangent

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

1Number

1.1Using Numbers

1.2Fractions, Decimals & Percentages

1.3Powers & Roots

1.4Accuracy

2Algebra

2.1Introduction to Algebra

2.2Manipulating Algebra

2.3Proofs & Functions

2.4Straight Line Graphs

2.5Common Graphs

2.6Transformations & Tangents

2.7Properties of Graphs

2.8Solving Equations

2.9Inequalities

2.10Sequences

3Ratio

4Geometry

4.1Introduction to Geometry

4.2Triangles & Quadrilaterals

4.3Transformations

4.4Circle Basics

4.5Circle Theorems

4.6Measurements & Units

4.7Calculating Area

4.8Triangle Formulae

4.93D Shapes

4.10Vectors

5Probability

6Statistics

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