The ° (Degree Symbol) Command

Command Summary

If the calculator is in radian mode, the ° (degree) symbol converts an angle to radians.

Command Syntax

angle°

Press:

1. [2nd]
2. [Angle]
3. [Enter] or [1]

TI-83/84/+/SE

1 byte

Normally, when the calculator is in radian mode, the trigonometric functions only return values calculated in radians. With the ° symbol you can have the angle evaluated as if in degree mode because it converts the angle into radians.

You can insert the degree symbol by pressing [2ND] [ANGLE] [ENTER].

One full rotation around a circle is 2π radians, which is equal to 360°. To convert an angle in radians to degrees you multiply by 180/π, and to convert from degrees to radians multiply by π/180.

``````sin(45)        \\ actually calculating sin(2578.31)
.8509035245
sin(45°)
.7071067812``````

In degree mode:

``````sin(45)
.7071067812
sin(45°)
.7071067812    \\ There's no difference when in degrees``````

Converting Degrees, Minutes & Seconds

The degree symbol also allows you to convert degrees, minutes and seconds into decimal degrees. For example:

``````90°30'
90.5
90°30'09"
90.5025``````

The minute symbol is inserted by pressing [2ND] [ANGLE] [2]. The seconds symbol is inserted via [ALPHA] [+].

To convert back the other way (decimal to degrees-minutes-seconds) use the ►DMS command, accessed via [2ND] [ANGLE] [4]:

``````90.5025►DMS
90°30'09"``````

Optimization

When you only call the trig function once in a program and want it calculated in degrees, instead of changing the mode you can just use ° to save one-byte (the newline from using the command Degree)

``````:Degree
:sin(X)
can be
:sin(X°)``````

.