### Entering Angles

Angles are their own object type. An angle is entered by prefixing a number with the angle symbol (∡, shortcut AL-RS-6), followed by a number, then finally a suffix that indicates the system (° = degrees1), r = radians, g = grads, or d = DMS [DDD.MMSS, where DDD=degrees, MM=minutes, SS=seconds])2). To enter an angle in the current angle mode of the calculator, the suffix can be left off. For example, the following all indicate an angle of 90.5 degrees:

∡90.5°

∡1.5795.r

∡100.5556g

∡90.3000d

and

∡90.5 with the angle mode set to degrees.

### Working with Angles

Trigonometric functions operate on angle objects as expected:

∡45° SIN yields the real number result 0.7071.

Basic arithmetic operations can also be applied to angle objects:

∡90° ∡50° + yields ∡135°

∡1.57r ∡50° - yields ∡0.6973r

∡90° ∡45° * yields 4050

∡90° ∡45° / yields 2

The result of an operation on angle objects has the following conventions:

• Addition and subtraction between angles returns an angle expressed in the system of the first argument,
• For all other operations, angles will be converted to the current angle mode and output a number.

### Commands for Angle Objects

 Command Purpose Example →∡° Convert real number to angle object in degrees. 56.2 →∡° yields ∡56.2° →∡r Convert real number to angle object in radians. 56.2 →∡r yields ∡56.2r →∡g Convert real number to angle object in grads. 56.2 →∡g yields ∡56.2g →∡d Convert real number to angle object in DMS. 56.2 →∡d yields ∡56.2d A→∡° Convert angle to degrees. ∡0.7854r. A→∡° yields ∡45.0001.° A→∡r Convert angle to radians. ∡45° A→∡r yields ∡0.7854.r A→∡g Convert angle to grads. ∡45° A→∡g yields ∡50g A→∡d Convert angle to DMS. ∡45.5° A→∡d yields ∡45.3d

1)
The shortcut for the degree symbol is AL-LShold-6
2)
r, g, and d are case insensitive
• manual/chapter3/angles.txt