manual:chapter3:angles

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision
Previous revision
Next revision Both sides next revision
manual:chapter3:angles [2017/08/11 18:06]
smartin [Working with Angles]
manual:chapter3:angles [2019/07/25 15:51]
claudio [Working with Angles]
Line 5: Line 5:
 ==== Entering Angles ==== ==== Entering Angles ====
  
-Angles are their own object type.  An angle is entered by prefixing a number with the angle symbol (∡, **AL-RS-6**), followed by a number, then finally a suffix that indicates the system (° = degrees, r = radians, g = grads, or d = DMS [Degrees Minutes Seconds] = DDD.MMSS)((r, g, and d are case insensitive)).  To enter an angle in the [[manual:chapter2:interface|current angle mode of the calculator]], the suffix can be left off.  For example, the following all indicate an angle of 90.5 degrees:+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 (° = degrees((The shortcut for the degree symbol is **AL-LS<sup>hold</sup>-6**)), r = radians, g = grads, or d = DMS [DDD.MMSS, where DDD=degrees, MM=minutes, SS=seconds])((r, g, and d are case insensitive)).  To enter an angle in the [[manual:chapter2:interface|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°'' ''∡90.5°''
Line 13: Line 13:
 ''∡100.5556g'' ''∡100.5556g''
  
-''90.3000d''+''90.3000d''
  
 and and
Line 29: Line 29:
 Basic arithmetic operations can also be applied to angle objects: Basic arithmetic operations can also be applied to angle objects:
  
-''∡90° ∡50° +'' yields ''∡135°''+''∡90° ∡45° +'' yields ''∡135°''
  
 ''∡1.57r ∡50° -'' yields ''∡0.6973r'' ''∡1.57r ∡50° -'' yields ''∡0.6973r''
Line 38: Line 38:
  
 The result of an operation on angle objects has the following conventions: 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 [[manual:chapter2:interface|current angle mode]] and output a number.+  * Addition and subtraction between angles returns an angle expressed in the system of the first argument. For example ''∡1.57r ∡50° -'' yields ''∡0.6973r'' 
 + 
 +  * Addition and subtraction between an angle and a real number will interpret the real number as an angle given in the [[manual:chapter2:interface|current angle mode]]. The result will be an angle expressed in the system of the first argument (current mode if the first argument is the real number). For example ''∡90° 45 +'' yields ''∡135°''
 + 
 +  * Multiplication of an angle by a real number will result in an angle in the given format. For example ''∡90° 2 *''  yields ''∡180°''
 + 
 +  * Division of an angle by a number results in an angle in the given format. For example ''∡90° 2 /''  yields ''∡45°''
 + 
 +  * Commands and functions that accept angles as arguments will consider that real number is an angle expressed in the [[manual:chapter2:interface|current angle mode]]. For example ''90 SIN'' yields ''1'' while the system is in ''DEG'' mode. 
 + 
 +  * For all other operations and commands, including those that don't accept angles as arguments, angles will be converted to radians and become normal real numbers.
  
  
 ---- ----
 ==== Commands for Angle Objects ==== ==== 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'' |
  
 ---- ----
  • manual/chapter3/angles.txt
  • Last modified: 2019/07/25 16:09
  • by claudio