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Identify Trigonometric Ratios in Right-Angled Triangles

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

'Identify Trigonometric Ratios in Right-Angled Triangles' worksheet

Key stage:  KS 3

Year:  Year 9 Maths worksheets

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Solve Right-Angled Triangle Problems

Popular topics:   Angles worksheets, Geometry worksheets

Difficulty level:  

Worksheet Overview

In a right-angled triangle, the sides and the angles are connected by three trigonometric ratios.


trig triangle


The three trig ratios are:



A quick way to remember this is to memorise the word




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.





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


If you need a reminder of all these formulae, you can check back to this page by clicking on the red button on the right of the screen.


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