Semiconductor & Computer Engineering
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Cosine is the ratio of the Adjacent Side / Hypotenuse of a right triangle, so in a right triangle from the position of an angle of 30 degrees, the length of the Adjacent side is .866025 as long as the hypotenuse. As with {{mIRC|$calc|$calc()}}, the returned fraction is limited to 6 decimal places. | Cosine is the ratio of the Adjacent Side / Hypotenuse of a right triangle, so in a right triangle from the position of an angle of 30 degrees, the length of the Adjacent side is .866025 as long as the hypotenuse. As with {{mIRC|$calc|$calc()}}, the returned fraction is limited to 6 decimal places. | ||
| − | < | + | <source lang="mIRC">//echo -a There are 2x pi radians in a circle, so a radian is $calc(360 / (2*$pi) ) degrees |
//var %i 30 | echo -a $cos(%i).deg is the same as $cos( $calc(%i * $left($pi,8) / 180) ) | //var %i 30 | echo -a $cos(%i).deg is the same as $cos( $calc(%i * $left($pi,8) / 180) ) | ||
| − | </ | + | </source> |
$cos accepts numbers larger than 1 rotation of a circle, as if the angle loops past the origin and continues. Assuming you are using the .deg property, angles above 360 degrees return the same result of the angle modulo 360. | $cos accepts numbers larger than 1 rotation of a circle, as if the angle loops past the origin and continues. Assuming you are using the .deg property, angles above 360 degrees return the same result of the angle modulo 360. | ||
| − | < | + | <source lang="mIRC">//var %i 400 | echo -a $cos(%i).deg is the same as $cos( $calc(%i % 360) ).deg</source> |
== Compatibility == | == Compatibility == | ||
Revision as of 15:58, 16 August 2018
$cos returns the cosine of an angle of N radians.
Synopsis
$cos(<N>)[.deg]
Switches
None
Parameters
- N - This is the angle in radians for which you wish to retrieve the cosine.
You can use the letter 'e' or 'd' as *10^N, $cos(5e6) = $cos($calc(5*10^6))
Properties
- deg - Sees N as degrees in a 360 degree circle instead of radians.
Example
Cosine is the ratio of the Adjacent Side / Hypotenuse of a right triangle, so in a right triangle from the position of an angle of 30 degrees, the length of the Adjacent side is .866025 as long as the hypotenuse. As with $calc(), the returned fraction is limited to 6 decimal places.
//echo -a There are 2x pi radians in a circle, so a radian is $calc(360 / (2*$pi) ) degrees //var %i 30 | echo -a $cos(%i).deg is the same as $cos( $calc(%i * $left($pi,8) / 180) )
$cos accepts numbers larger than 1 rotation of a circle, as if the angle loops past the origin and continues. Assuming you are using the .deg property, angles above 360 degrees return the same result of the angle modulo 360.
//var %i 400 | echo -a $cos(%i).deg is the same as $cos( $calc(%i % 360) ).deg
Compatibility
Added: mIRC v5.31
Added on: 04 Jan 1998
Note: Unless otherwise stated, this was the date of original functionality.
Further enhancements may have been made in later versions.