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Trigonometric Ratios

In this worksheet, student work out the given trigonometric ratio in right-angled triangles.

'Trigonometric Ratios' worksheet

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 ?

 

 

Answer

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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