Trig mind map

Formula

a2+b2=c2

When to use

The Pythagorean theorem is used on right triangles when you know two sides of the triangle and are trying to find the length of the hypotenuse (the longest side) .

Example (calculate the two sides for the missing lenght)

Real life example

the Pythagorean theorem can be used in real life for two dimensional navigation. it can be used with two lengths to find the shortest distance. The distances north and west will be the the a and b of the triangle, and the shortest line connecting them will be the c.

when to use: The sine rule is used when we are given either two angles and one side or two sides and a non-included angle.

when to use: The cosine rule is used when we are given either three sides or two sides and the included angle.

Formula

sin= opp/hyp
cos= adj/hyp
tan=opp/adj

When to use

you use them to solve lenghts and angles of triangles. Like for example when your given two side lengths and need to find the missing lenght

Opposite" is opposite to the angle θ
"Adjacent" is adjacent (next to) to the angle θ
"Hypotenuse" is the long one

Examples

Real life examples

At 57" from the base of a building you need to look up at 55° to see the top of a building. What is the height of the building?

formula: AB/ED BC/EF

When to use:
Two triangles are similair when their corresponding angles are congurent and the corresponding sides are in proportion. so essentielly if they apear the same shape they are deemed as similair.