$cos Identifier - mIRC

$cos returns the cosine of an angle of N radians.

Synopsis[edit]

$cos(<N>)[.deg]

Switches[edit]

None

Parameters[edit]

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[edit]

deg - Sees N as degrees in a 360 degree circle instead of radians.

Example[edit]

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[edit]

Added: mIRC v5.3
Added on: 13 Dec 1997
Note: Unless otherwise stated, this was the date of original functionality.
Further enhancements may have been made in later versions.

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