TR-16: Trig Functions on a Calculator (Trigonometry series by Dennis F. Davis)

Introduction

This tutorial provides a comprehensive guide on how to use trigonometric functions with various calculators, including TI, Casio, Numworks, Excel, and the Windows Calculator. Understanding these functions is essential for solving problems in trigonometry, which is widely applicable in mathematics and engineering.

Step 1: Setting Up Your Calculator

Before performing trigonometric calculations, ensure your calculator is set up correctly.

• Check Mode: Ensure your calculator is in the correct mode (degrees or radians) based on the problem.
• Select Function: Familiarize yourself with the trigonometric functions available on your calculator, such as sine (sin), cosine (cos), and tangent (tan).

Step 2: Using Trigonometric Functions on Common Calculators

Here is how to compute trigonometric functions on different calculators:

TI Calculators

1. Turn on the calculator.
2. Set the mode to either degrees or radians.
3. Input the angle using the keypad.
4. Press the appropriate trigonometric function key (sin, cos, or tan).
5. Review the output displayed on the screen.

Casio Calculators

1. Power on the calculator.
2. Ensure the angle is in the correct mode (degree or radian).
3. Type in the angle value.
4. Select the trigonometric function key.
5. Press equals (=) to see the result.

Numworks Calculator

1. Turn on the calculator.
2. Access the calculator's home screen.
3. Choose the trigonometric function from the menu.
4. Enter the angle and confirm to get the output.

Windows Calculator

1. Open the Calculator app.
2. Switch to scientific mode.
3. Select the trigonometric function you wish to use.
4. Enter the angle and hit enter to view the result.

Excel

1. Open a new spreadsheet.
2. Use the function syntax for trigonometric calculations:
   • For sine: =SIN(angle in radians)
   • For cosine: =COS(angle in radians)
   • For tangent: =TAN(angle in radians)
3. Enter the angle value in radians for accurate results.

Step 3: Solving Trigonometric Problems

Practice solving trigonometric problems using the following steps:

• Identify the Angle: Determine whether the angle is given in degrees or radians.
• Choose the Right Function: Depending on the problem, decide if you need sine, cosine, or tangent.
• Enter the Values: Use your calculator to enter the angle and compute the value.
• Interpret the Results: Analyze the output in the context of the problem.

Common Pitfalls to Avoid

• Incorrect Mode: Ensure the calculator is set to the correct mode (degrees vs. radians) before performing calculations.
• Input Errors: Double-check the angle and ensure you’re using the correct function.
• Neglecting Units: Always be aware of the units involved in your calculations to avoid errors.

Conclusion

This tutorial highlighted the essential steps to use trigonometric functions on various calculators effectively. By understanding the setup and operation of each calculator type, you can confidently tackle trigonometry problems. As a next step, consider practicing with additional problems or exploring more advanced trigonometric concepts.