sind
sin of an angle in degrees, exact at the special angles (sind(30) = 1/2), else a decimal.
x(number) -- an angle in degrees
Trigonometry
cosd
cos of an angle in degrees, exact at the special angles (cosd(60) = 1/2).
x(number) -- an angle in degrees
tand
tan of an angle in degrees, exact at the special angles (tand(45) = 1).
x(number) -- an angle in degrees
asind
The angle in degrees whose sine is v, exact at the special values (asind(1/2) = 30).
v(number) --
acosd
The angle in degrees whose cosine is v (acosd(1/2) = 60).
v(number) --
atand
The angle in degrees whose tangent is v (atand(1) = 45).
v(number) --
cot
cot x = cos x / sin x (radians); an error at its poles.
x(number) --
sec
sec x = 1 / cos x (radians).
x(number) --
csc
csc x = 1 / sin x (radians).
x(number) --
cosec
cosec x = 1 / sin x (radians): the name textbooks use for csc.
x(number) --
sinc
The normalized sinc function sin(pi x)/(pi x), with sinc(0) = 1.
x(number) --
sinpi
sin(pi x), exact at whole and half-whole x.
x(number) --
cospi
cos(pi x), exact at whole and half-whole x.
x(number) --
tanpi
tan(pi x).
x(number) --
wrapRadians
An angle reduced into [-pi, pi).
angle(number) -- radians
wrapDegrees
An angle reduced into [0, 360).
angle(number) -- degrees
atan2Degrees
The angle of the point (x, y) in degrees, in (-180, 180].
y(number) --x(number) --
harmonic
A sum of sinusoids: offset + A1 sin(w1 x + p1) + ..., each term written [A, w, p] (p optional).
offset(number) --terms(list) -- [[A, w, p], ...]
harmonicAt
The value of a harmonic sum at x.
h(harmonic) --x(number) --
harmonicSlope
The derivative of a harmonic sum at x.
h(harmonic) --x(number) --
harmonicIntegral
The integral of a harmonic sum from a to b.
h(harmonic) --a(number) --b(number) --
meanSquare
The mean of h^2 over [a, b].
h(harmonic) --a(number) --b(number) --
rms
The root-mean-square value over [a, b] (A/sqrt(2) for one sine over whole periods).
h(harmonic) --a(number) --b(number) --
sinCosForm
The terms regrouped by exact frequency as a sin(wx) + b cos(wx).
h(harmonic) --
harmonicRoots
Roots of a harmonic sum in [a, b], found by scanning n subintervals (a root that only touches zero can be missed).
h(harmonic) --a(number) --b(number) --n(integer) --
solveSine
Every solution of A sin(w x + p) + c = 0 in [a, b], exactly from the formula (no numerical search).
A(number) --w(number) --p(number) --c(number) --a(number) --b(number) --