How to Convert between Degrees and DMS
On the TI83 Plus graphing calculator, you can use the functions housed in the Angle menu to convert between rectangular and polar coordinates. They also allow you to convert between degrees and DMS (degrees, minutes, and seconds). You can override the angle setting in the Mode menu of the calculator when you use these functions.
For example, if the calculator is in Radian mode and you want to enter an angle measure in degrees, there is a function in the Angle menu that allows you to do so.
How to convert between degrees and DMS on the TI83 Plus
To convert degrees to DMS (degrees, minutes, seconds), follow these steps:

Put the calculator in Degree mode.

If necessary, press [2nd][MODE] to access the Home screen.

Enter the degree measure.

Press [2nd][APPS][4][ENTER] to convert the degrees to DMS. (On the TI83, press [2nd][MATRX][4][ENTER].)
To convert DMS to degrees, follow these steps:

Follow the above Steps 1 and 2.

Enter the DMS measure.

Press [ENTER] to convert the DMS entry to degrees.
How to entering angles in DMS measure on the TI83 Plus
To enter an angle in DMS measure:

Enter the number of degrees and press [2nd][APPS][1] to insert the degree symbol. (On the TI83, press [2nd][MATRX][1].)

Enter the number of minutes and press [2nd][APPS][2] to insert the symbol for minutes. (On the TI83, press [2nd][MATRX][2].)

Enter the number of seconds and press [ALPHA][+] to insert the symbol for seconds.
How to override the mode of the angle
If the TI83 Plus calculator is in Radian mode but you want to enter an angle in degrees, enter the number of degrees and then press [2nd][APPS][1] to insert the degree symbol. (On the TI83, press [2nd][MATRX][1].)
If the calculator is in Degree mode and you want to enter an angle in radian measure, enter the number of radians and then press [2nd][APPS][3] to insert in the radianmeasure symbol. (On the TI83, press [2nd][MATRX][3].) If the radian measure is entered as an arithmetical expression, such as
be sure to surround it with parentheses before you insert the radianmeasure symbol.