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.

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