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Angles
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 |