  # Trigonometric Ratios

In this worksheet, student work out the given trigonometric ratio in right-angled triangles. Key stage:  KS 3

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Solve Right-Angled Triangle Problems

Difficulty level:   #### Worksheet Overview

In a right-angled triangle, the sides and the angles are connected by three trigonometric ratios. The three trig ratios are:   A quick way to remember this is to memorise the word

SOHCAHTOA

Example

Use the side lengths of this triangle to state the value of cosθº ? Label the sides adjacent, opposite and hypotenuse in relation to the angle θº. SOHCAHTOA

The side adjacent to the angle θ has length 3.

The hypotenuse has length 5.

The correct trig ratio is COS so cos θº= 3/5

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