Take 2 minutes to write down the
properties you know about this shape
and be prepared to share with the class.
SohCahToa
Objective: By the end of this class you should be able
to identify the sides of a right triangle based on a given
angle and be able to correctly set up a Sin, Cos, or Tan
equation to find that angle.
SohCahToa
• S= Sine=Sin
• o= Opposite
• h= Hypotenuse • C= Cosine=Cos
• a= Adjacent
• h= Hypotenuse
• T= Tangent=Tan
• o= Opposite
• a= Adjacent
•The opposite side is always away from the angle
•The hypotenuse is always the longest side
•The opposite side is always away from the angle
•The hypotenuse is always the longest side
Hypotenuse
Adjacent
Opposite
Hypotenuse
Opposite
Adjacent
Hypotenuse
Opposite
Adjacent
Adjacent
Opposite
Hypotenuse
Soh
• The_____
First small letter divided by the________
Second
small letter
Opposite
_________
Sin=
Hypotenuse
Sinθ=
3
____
5
3
5
Sinθ=
6
________
13
6
13
11
________
Sinθ=
22
22
9
Cah
• The_____
First small letter divided by the________
Second
small letter
Adjacent
_________
Cos=
Hypotenuse
5
Cosθ=
4
____
5
4
18
Cosθ=
12
________
18
12
7
________
Cosθ=
19
19
7
Toa
• The_____
First small letter divided by the________
Second
small letter
Opposite
_________
Tan=
Adjacent
Tanθ=
3
____
4
3
4
Tanθ=
7
________
6
Tanθ=
7
6
8
________
7
7
8
1. Using ∠X, label the sides: opposite,
adjacent, hypotenuse.
2. In fractional terms find:
sin X =
cos X =
tan X =
1. Using ∠X, label the sides: opposite,
adjacent, hypotenuse.
2. In fractional terms find:
sin X =
cos X =
tan X =
1. Using ∠A, label the sides: opposite,
adjacent, hypotenuse.
2. In fractional terms find:
sin A =
cos A =
tan A =
3. Using ∠B, label the sides: opposite,
adjacent, hypotenuse.
4. In fractional terms find:
sin B =
cos B =
tan B =
Three Main Principles
• Opposite side is always away from the angle
• The hypotenuse is always the longest side
• The First small letter is divided by the second
small letter
• http://www.mathwarehouse.com/trigonomet
ry/activitiesworksheets/SOHCAHTOA_worksheet_lesson.p
df
• http://www.geogebra.org/en/upload/files/en
glish/RGemberling/lsn12.html