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#### 6.4.1 Angular Modes

The Calculator supports three notations for angles: radians, degrees, and degrees-minutes-seconds. When a number is presented to a function like `sin` that requires an angle, the current angular mode is used to interpret the number as either radians or degrees. If an HMS form is presented to `sin`, it is always interpreted as degrees-minutes-seconds.

Functions that compute angles produce a number in radians, a number in degrees, or an HMS form depending on the current angular mode. If the result is a complex number and the current mode is HMS, the number is instead expressed in degrees. (Complex-number calculations would normally be done in Radians mode, though. Complex numbers are converted to degrees by calculating the complex result in radians and then multiplying by 180 over ‘`pi`’.)

The `m r` (`calc-radians-mode`), `m d` (`calc-degrees-mode`), and `m h` (`calc-hms-mode`) commands control the angular mode. The current angular mode is displayed on the Emacs mode line. The default angular mode is Degrees.