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
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
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
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
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.
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