﻿ Trigonometry Ratios               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

# 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         ### Shop           