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Transcript SOH CAH TOA

SOH CAH TOA
By: Corinne Fahs
Purpose
The purpose of this PowerPoint is to help with the
understanding of trigonometry by the use of SOH CAH
TOA.
The formula is presented in words, and also with
variables. The variables are then substituted with actual
variables based off a given triangle.
Practice questions are then given.
SOH
SOH stands for Sin, Opposite, Hypotenuse.
Sin of the angle is equal to opposite over hypotenuse.
>> SinX=O/H
Using the triangle below the formula would
be SinA=a/c
CAH
CAH stands for Cos, Adjacent, Hypotenuse.
Cos of the angle is equal to adjacent over hypotenuse.
>> CosX=A/H
Using the triangle below the formula would
be CosA=b/c
TOA
TOA stands for Tan, Opposite, Adjacent.
Tan of the angle is equal to the opposite over the
adjacent. >> TanX=O/A
Using the triangle below the formula would
be TanA=a/b
Practice
1. Given that a= 3 and b=4. What is the value of angle
A?
2. Given that a=2 and c=4. What is the value of angle
A?
3. Given that b=5 and c=8. What is the value
of angle B?
Answers
1. 36.87° Tan^-1(3/4)= 36.87
2. 30° Exp: Sin^-1(2/4)= 30
3. 51.32° Exp: Cos^-1(5/8)=51.32
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