## Trigonometric Ratios

Sine = Opposite              Tangent = Opposite
Hypotenuse
= O                                      = O
H                                          A
Cosine = Adjacent                  =A
Hypotenuse                  H

ß*this side never changes*à
Hypotenuse – the longest side, opposite the right angle.
Opposite – the other side, opposite the angle you’re looking at.
Adjacent – the side next to or right beside the angle you’re looking at
* Your O and your A changes depending on what angle you’re looking at*

Find –A                Find –C
Sin A = 4               Sin C =3
5                            5
Cos A =3              Cos C =4
5                            5
Tan A =4             Tan C =3
3                          4

## Calculating Angles Using Trig          Ratios

To get this answer use your calculator and one of the following do as the
Push à 2nd F or shift  |   Pushà decimal
Pushà Sin/Cos/Tan      |   Pushà 2nd
Pushà decimal             |   Pushà Sin/Cos/Tan
Pushà =                      |   Pushà =

Ex.  Sin=3           Cos= 4       Tan=3
5                    5                4
=0.6              =0.8           =0.75
Sin=36.86   Cos=36.86 Tan=36=86

## Calculating Decimals Using Trig Ratios

To get this answer use your calculator and one of the following do as the
Pressà Cos/Sin/ Tan            |   Pressà Whole # (degree)
Pressà whole # (degree)      |   Pressà Cos/Sin/Tan
Pressà =                              |   Pressà =

Ex.  Cos 75 = 0.2588
Sin 12 = 0.2079

## Calculating Side Length Using Trig Ratios

To find the side length you must make the degree into a decimal.

Then depending on the side length you are finding you divide or you multiply

Ex.
SOH
Sin43= a
67
0.6819=a
67
67 X 0.819=a
45.68=a
there for side BC or a equals 45.68