# TI-BASIC:Degree Symbol

**Command Summary**

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

**Command Syntax**

*angle*°

**Menu Location**

Press:

- [2nd]
- [Angle]
- [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.

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.

In radian mode:

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°)

# Related Commands

^{r}(radian symbol)