# TI-BASIC:Degree Symbol

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 

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.

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
```

# 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°)
```