Radian and Degree with Graphing Calculator

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Discussion Overview

The discussion revolves around the capabilities of the TI-83 Plus graphing calculator in converting angles between radians and degrees. Participants explore various methods for performing these conversions without directly using multiplication by (pi/180) or (180/pi).

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant inquires about a quick method for converting angles between radians and degrees on the TI-83 Plus, specifically seeking alternatives to multiplication by conversion factors.
  • Another participant suggests using the mode setting on the calculator to switch between radians and degrees as a straightforward solution.
  • A participant expresses interest in whether the calculator can convert a specific numerical input (e.g., 145) directly to radians with minimal button presses.
  • One response proposes dividing by 57.3 as a method for converting degrees to radians, noting it is similar to the multiplication approach.
  • Another participant describes a method involving the angle menu to convert between degrees and radians depending on the current mode of the calculator.
  • A more unconventional method is presented, where one can take the sine of a degree value in degree mode and then the inverse sine in radian mode to achieve a conversion.

Areas of Agreement / Disagreement

Participants present multiple methods for angle conversion, indicating a lack of consensus on a single preferred approach. The discussion remains open with various techniques proposed.

Contextual Notes

Some methods rely on specific calculator settings and may not be universally applicable. The effectiveness of each method may depend on user familiarity with the calculator's functions.

vertciel
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Hello everyone,

I use a TI-83 Plus and I'd like to know if there is a quick way to convert an angle from radian to degree and vice versa. I am not referring to multiplying by (pi/180) or (180/pi).

Thanks!
 
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hit mode, it's at the top next to the 2nd button, and switch from radian to degree.
 
Thanks for your reply.

I actually wanted to ask whether the graphing calculator can convert a number to either radians or degrees. For example, if I typed in 145, would it be possible to press a few buttons to get the equivalent radian measure?
 
vertciel said:
For example, if I typed in 145, would it be possible to press a few buttons to get the equivalent radian measure?
You have already mentioned one way of doing it, and matticus posted another. Here's another way: Divide by 57.3 (approx.). [This is essentially the same as multiplying by pi/180]
 
vertciel said:
Thanks for your reply.

I actually wanted to ask whether the graphing calculator can convert a number to either radians or degrees. For example, if I typed in 145, would it be possible to press a few buttons to get the equivalent radian measure?

If your mode is set to radians

type in your angle in degrees and then go to angle -> the degree symbol and I think it outputs the answer in radians

If your mode is set to degrees

tyoe in your angle in radians to go to angle -> the radian symbol (little "r") and I think it outputs the answer in radians
 
Here's the "hard way"! To convert degrees to radians, set the mode to "degrees", and take the sine of the number. Now set the mode to "radians" and take the inverse sine!
 

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