Cheatography

# Trigonometry Year 10 Cheat Sheet 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

### 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

### 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

### Examples of Angles

Corres­pon­ding: Equal the same
Alternate: Equals 180