Trigonometric functions

CalcTree supports a full range of trigonometric and hyperbolic functions using MathJS syntax. All trigonometric functions operate using radians by default.

To convert degrees to radians, use:

deg * (pi / 180)  

To convert radians to degrees:

rad * (180 / pi)  

Standard Trigonometric Functions

Function	Description	CalcTree Example
sin(x)	Sine	sin(pi / 2) → 1
cos(x)	Cosine	cos(0) → 1
tan(x)	Tangent	tan(pi / 4) → 1
cot(x)	Cotangent	cot(pi / 4) → 1
sec(x)	Secant	sec(0) → 1
csc(x)	Cosecant	csc(pi / 2) → 1

Inverse Trigonometric Functions

Function	Description	CalcTree Example
asin(x)	Inverse sine	asin(1) → pi / 2
acos(x)	Inverse cosine	acos(1) → 0
atan(x)	Inverse tangent	atan(1) → pi / 4
atan2(y, x)	2-arg inverse tangent (y/x)	atan2(3, 3) → pi / 4
acot(x)	Inverse cotangent	acot(1) → pi / 4
asec(x)	Inverse secant	asec(1) → 0
acsc(x)	Inverse cosecant	acsc(1) → pi / 2

Hyperbolic Trigonometric Functions

Function	Description	CalcTree Example
sinh(x)	Hyperbolic sine	sinh(0) → 0
cosh(x)	Hyperbolic cosine	cosh(0) → 1
tanh(x)	Hyperbolic tangent	tanh(0) → 0
coth(x)	Hyperbolic cotangent	coth(1) → 1.31...
sech(x)	Hyperbolic secant	sech(0) → 1
csch(x)	Hyperbolic cosecant	csch(1) → 0.85...

Inverse Hyperbolic Functions

Function	Description	CalcTree Example
asinh(x)	Inverse hyperbolic sine	asinh(1) → 0.881...
acosh(x)	Inverse hyperbolic cosine	acosh(2) → 1.317...
atanh(x)	Inverse hyperbolic tangent	atanh(0.5) → 0.549...
acoth(x)	Inverse hyperbolic cotangent	acoth(2) → 0.549...
asech(x)	Inverse hyperbolic secant	asech(0.5) → 1.317...
acsch(x)	Inverse hyperbolic cosecant	acsch(2) → 0.481...

Notes for CalcTree

• All trigonometric functions use radians by default.

• Inputs can include units (e.g., degrees), but they must be converted to radians manually for most trigonometric functions.

• Results are unitless unless explicitly wrapped in unit conversion logic.

📘 Looking for more functions? CalcTree’s expression engine is powered by MathJS. For a full list of available functions, visit the MathJS Function Reference. Most functions listed there are supported in CalcTree unless otherwise noted.