Using SOHCAHTOA on your calculator is a straightforward process once you understand the basics of trigonometry. SOHCAHTOA is a mnemonic that helps you remember the definitions of the sine, cosine, and tangent functions in a right-angled triangle. Here’s how you can use it on your calculator:
Step 1: Identify the Angle and Sides
First, identify the angle you are working with and the sides of the triangle relative to that angle. The sides are:
- Opposite: The side opposite the angle.
- Adjacent: The side next to the angle (but not the hypotenuse).
- Hypotenuse: The side opposite the right angle.
Step 2: Choose the Correct Function
Based on the sides you have, choose the appropriate trigonometric function:
- SOH: Sine = Opposite / Hypotenuse
- CAH: Cosine = Adjacent / Hypotenuse
- TOA: Tangent = Opposite / Adjacent
Step 3: Enter the Values into Your Calculator
Once you’ve identified the sides and chosen the correct function, enter the values into your calculator:
- Turn on your calculator and make sure it’s in the correct mode (degrees or radians) depending on your problem.
- Press the function key (sin, cos, or tan) corresponding to the function you need.
- Enter the value of the angle.
- Press the equals (=) button to get the result.
Step 4: Interpret the Result
The result displayed on your calculator is the ratio of the sides based on the function you used. This ratio can help you find missing side lengths or angles in your triangle.
By following these steps, you can effectively use SOHCAHTOA on your calculator to solve trigonometric problems in right-angled triangles.