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 ° Tan^-1(3/4)= ° Exp: Sin^-1(2/4)= ° Exp: Cos^-1(5/8)=51.32 °

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