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How to Change Radians to Degrees on Calculator Ti-84

Reviewed by Calculator Editorial Team

Converting between radians and degrees is a fundamental skill in trigonometry. The TI-84 calculator provides a straightforward way to perform this conversion. This guide will walk you through the process using the calculator's built-in functions.

Conversion Formula

The relationship between radians and degrees is defined by the formula:

Degrees = Radians × (180/π)

Radians = Degrees × (π/180)

Where π (pi) is approximately 3.141592653589793. The TI-84 calculator uses this formula internally when performing conversions between these units.

Step-by-Step Instructions

Method 1: Using the Angle Mode

  1. Press the MODE button on your TI-84 calculator.
  2. Use the arrow keys to highlight Angle.
  3. Press ENTER to select the angle mode.
  4. Use the arrow keys to choose between Deg (degrees) and Rad (radians).
  5. Press ENTER to confirm your selection.

Method 2: Using the Conversion Function

  1. Press the 2ND button, then the MODE button to access the Angle menu.
  2. Use the arrow keys to select Deg or Rad.
  3. Press ENTER to set the angle mode.
  4. Enter your value in the calculator.
  5. Press the 2ND button, then the SIN button to convert the value to degrees or radians.

Tip: The TI-84 calculator automatically uses the current angle mode for all trigonometric functions. Make sure to set the correct mode before performing calculations.

Using the Calculator

Our interactive calculator below demonstrates how to convert radians to degrees. Simply enter your value in radians and click "Calculate" to see the result in degrees.

Example Conversion

Let's convert π/2 radians to degrees:

π/2 radians × (180/π) = 90 degrees

This conversion is useful when working with trigonometric functions that require degree inputs.

Common Mistakes

  • Forgetting to set the correct angle mode before performing calculations.
  • Entering values in the wrong unit (degrees instead of radians or vice versa).
  • Using the wrong conversion formula (remembering that degrees are larger than radians).

Double-checking your angle mode and carefully entering values can help avoid these common errors.

FAQ

Why does my TI-84 give different results for the same trigonometric function?
The TI-84 uses the current angle mode (degrees or radians) for all trigonometric calculations. Make sure to set the correct mode before performing calculations.
How do I convert degrees to radians on my TI-84?
Set the angle mode to radians, then use the conversion formula: Radians = Degrees × (π/180).
What is the difference between radians and degrees?
Degrees are based on the 360-degree circle, while radians are based on the radius of a circle. One radian is approximately 57.2958 degrees.