SOHCAHTOA Game

SOHCAHTOA Game
You can find the basic trigonometric ratios for an acute angle in a right-angled triangle using the mnemonic SOHCAHTOA.
SOHCAHTOA is an easy way to remember the definitions of the three primary ratios: \(\sin(\theta) = \frac{\text{Opposite}}{\text{Hypotenuse}}\), \(\cos(\theta) = \frac{\text{Adjacent}}{\text{Hypotenuse}}\), and \(\tan(\theta) = \frac{\text{Opposite}}{\text{Adjacent}}\).
Scroll down the page for a more detailed explanation.
 
This game requires you either to find the trig ratio of a given angle or to choose the rule for the highlighted sides relative to an angle. If you give a wrong answer, the game will provide the correct answer.
 

 

How to Play the SOHCAHTOA Game
In this game, you need to practice identifying congruent triangles based on the standard postulates (SSS, SAS, ASA, AAS).
Here’s how to play:

1. Choose your challenge: Select “Find the Ratio”, “Choose the Rule”, or “Mixed Challenge”.
   
2. Find the Ratio Given a triangle with side lengths, determine the fraction for sin(θ), cos(θ), or tan(θ).
   
3. Choose the Rule Given two highlighted sides relative to an angle, identify if you should use Sine, Cosine, or Tangent.
   
4. Check Your Work: The game will tell you if you’re correct. If you are wrong, you will be shown the correct answer.
   
5. Get a New Problem: It will then show you a new problem.
   Your score is tracked at the top, showing how many you’ve gotten right out of the total you’ve tried.
   
6. Back to Menu Click “Menu” to restart the game.
    
   

Trigonometric Ratios
You can find the basic trigonometric ratios for an acute angle in a right-angled triangle using the mnemonic SOHCAHTOA.
SOHCAHTOA is an easy way to remember the definitions of the three primary ratios: Sine (sin), Cosine (cos), and Tangent (tan).
 
Understanding the Mnemonic
The term SOHCAHTOA breaks down into three parts:
SOH, Sine, Opposite over Hypotenuse, \(\sin(\theta) = \frac{\text{Opposite}}{\text{Hypotenuse}}\)

CAH, Cosine, Adjacent over Hypotenuse, \(\cos(\theta) = \frac{\text{Adjacent}}{\text{Hypotenuse}}\)

TOA, Tangent Opposite over Adjacent, \(\tan(\theta) = \frac{\text{Opposite}}{\text{Adjacent}}\)
 
Labeling the Sides
Before calculating the ratios, you must correctly label the sides of the right-angled triangle relative to the angle ($\theta$) you are working with:
Hypotenuse (H): The longest side, always opposite the right angle (90°).
Opposite (O): The side directly across from the angle (θ).
Adjacent (A): The side next to the angle (θ) that is not the hypotenuse.
 
Calculating the Ratios
Once the sides are labeled and their lengths are known, you can calculate the three ratios using the SOHCAHTOA formulas.
 

The video gives a clear, step-by-step approach to learn about using SOHCAHTOA to find Trig Ratios.

• Show Video

 

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