© All Things Maths 2024. All rights reserved.

GCSE Revision Topics

There are three trigonometry ratios that relate angles and sides in any right-angled triangle.

sin x  = opposite/hypotenuse      cos x = adjacent/hypotenuse       tan x = opposite/adjacent


         You have the opposite and hypotenuse side lengths so                                   

                                 use the sine ratio: sin x = 5/7

                                                                  x = sinˉ¹(5/7) = 46°


                                   You have the adjacent and need to find the opposite side length so

                                   use the tan ratio: tan 55° = x/28

     28 x tan 55° =  x = 40



All Things Maths

How to use trigonometric ratios to find angles and side lengths.

All Things Maths Secondary Resources

Further secondary maths resources are available by clicking the links below.

Consolidate knowledge of trigonometry ratios with these activity worksheets. You will find included: a trigonometry codebreaker worksheet and two word problem worksheets.

Trigonometry Ratios - Crack The Code! (TES)

Introduction to topic or refresher worksheet looking at using the trigonometric ratios to calculate missing angles. (Printable pdf)

Trigonometry Ratios (All Things Maths)


A set of trigonometry ratio worksheets asking to calculate the missing lengths before matching to the answers. You will find included: a sine ratio worksheet, a cosine ratio worksheet, a tangent ratio worksheet and a mixed ratio worksheet.

Solve & Match Worksheets (TPT)

Trigonometry Activities

All Things Maths x x


opposite x 5 x 28 x 55°


Secondary Maths