Maxscript: There are two functions here which create a single wave in maxscript using point helps to display the wave.

Wave Expressions | .ms

-- http://cameroncarson.com/nuke-wave-expressions/
-- https://davemne.wordpress.com/2011/05/16/nuke-wave-expressions-to-copy-and-paste/

fn BuildBounceArc =
(
	waveWidth = 10
	minVal = 0
	maxVal = 10
	numSamples = 20

	-- abs(sin(pi*(frame + offset)/waveLength))* (maxVal-minVal) + minVal
	for i = 0 to numSamples do
	(
		ang = i * 180.0 / numSamples
		posZ = abs(sin(ang)) * (maxVal - minVal) + minVal
		posX = 1.0 * i / numSamples * waveWidth
		point pos:[posX, 0, posZ] size:.5 wirecolor:green name:("ang_" + ang as string)
	)
)

fn BuildLinearArc =
(
	waveWidth = 10
	minVal = 0.0
	maxVal = 10
	numSamples = 50

	-- (asin(sin(2*pi*(frame+offset)/waveLength))/pi+0.5) * (maxVal-minVal) + minVal
	for i = 0 to numSamples do
	(
		ang = i * 180.0 / numSamples
		posZ = (asin(sin(ang))/90) * (maxVal - minVal) + minVal
		posX = 1.0 * i / numSamples * waveWidth
		point pos:[posX, 0, posZ] size:.5 wirecolor:red name:("ang_" + ang as string)
	)
)

fn BuildConcaveArc =
(
	waveWidth = 10
	minVal = 0.0
	maxVal = 10
	numSamples = 50

	for i = 0 to numSamples do
	(
		ang = i * 180.0 / numSamples
		w = pow (asin(sin(ang))/90) 3.0 --increase or decrease value for steeper/shallower curve
		posZ = w * (maxVal - minVal) + minVal
		posX = 1.0 * i / numSamples * waveWidth
		point pos:[posX, 0, posZ] size:.5 wirecolor:blue name:("ang_" + ang as string)
	)
)

fn BuildConvexArc =
(
	waveWidth = 10
	minVal = 0.0
	maxVal = 10
	numSamples = 50

	for i = 0 to numSamples do
	(
		ang = i * 180.0 / numSamples
		w = pow (asin(sin(ang))/90) .5 --increase or decrease value for steeper/shallower curve
		posZ = w * (maxVal - minVal) + minVal
		posX = 1.0 * i / numSamples * waveWidth
		point pos:[posX, 0, posZ] size:.5 wirecolor:orange name:("ang_" + ang as string)
	)
)

fn BuildSmoothArc =
(
	waveWidth = 10
	minVal = 0
	maxVal = 10
	numSamples = 20

	for i = 0 to numSamples do
	(
		ang = i * 180.0 / numSamples
		w = pow (abs(sin(ang))) 3 --increase or decrease value for steeper/shallower curve
		posZ = w * (maxVal - minVal) + minVal
		posX = 1.0 * i / numSamples * waveWidth
		point pos:[posX, 0, posZ] size:.5 wirecolor:black name:("ang_" + ang as string)
	)
)

delete objects
clearlistener()
format "\n"

BuildBounceArc()
BuildLinearArc()
BuildConcaveArc()
BuildConvexArc()
BuildSmoothArc()

/*
	in other programs, sin/asin work with Radians
	but in MAXScript, you need to divide by degrees
	and 0.5*Pi is 180 degrees
*/