Download 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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