Trigonometry Year 10 Cheat Sheet

A Education › Mathematics cheat sheet in English by enfoiree_

Covers: Trigonometric Functions, Similarity Test for Similar Triangles, Scale Factor, Pythagoras Theorem, Pythagoras in 3 Dimensions, How to find a Right-Angled Triangle, Bearings

Mathematics Trigonometry Year10 Bearings

47,855 views 3,857 downloads 27 Oct 2022 History

PRs

Download

Trigonometric Functions

*adjacent and opposite labels can change depending on the angle being found

Pythagoras Theorem

c² = a² + b²	c = √a² + b²
a² = c² - b²	a = √c² - b²
b² = c² - a²	b = √c² - a²

c is the hypotenuse whereas a and b can be switched interchangeably

Pythagoras in 3 Dimensions

The Pythagorean Theorem can also be used in three dimensions to find the diagonal length of a rectangular prism

d = √x² + y² + z²

Finding right angles in general shapes

Example X

True Bearings

Similarity Test for Similar Triangles

Scale Factor

Scale factor is the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

sf = larger figure dimensions ÷ smaller figure dimensions