soh cah toa

SOH CAH TOABy: Corinne Fahs

PurposeThe 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.

SOHSOH 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

CAHCAH 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

TOATOA 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

Practice1. 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?

Answers1. 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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