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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
Example:
You have the opposite and hypotenuse side lengths so
use the sine ratio: sin x = 5/7
x = sinˉ¹(5/7) = 46°
Example:
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.
GCSE formula bookmark (Etsy website)
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.
Introduction to topic or refresher worksheet looking at using the trigonometric ratios to calculate missing angles. (Printable pdf)
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.
Trigonometry Activities
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