math.tan

local result = math.tan(
    angle
)

Type	Name	Description
`number`	angle	Angle in radians

Type	Name	Description
`number`	result	Tangent of angle

Tangent of 0

local result = math.tan(0)

engine.print("info", result) -- 0.0

Tangent of 45 degrees is 1

local result = math.tan(math.rad(45))

engine.print("info", result) -- 1.0

Tangent of a negative angle

local result = math.tan(math.rad(-45))

engine.print("info", result) -- -1.0

Calculate slope from an angle

local angle_deg = 30
local slope = math.tan(math.rad(angle_deg))

engine.print("info", slope) -- 0.57735

Compute height from distance and elevation angle

local distance = 100
local elevation_deg = 30
local height = distance * math.tan(math.rad(elevation_deg))

engine.print("info", height) -- 57.735

Verify tan equals sin over cos

local angle = math.rad(60)
local result = math.sin(angle) / math.cos(angle)

engine.print("info", result, math.tan(angle)) -- 1.7320  1.7320