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Sine sin(x)
Opposite / Hypotenuse
sin(90°) = 1 | sin(π/2) = 1
Opposite / Hypotenuse
sin(90°) = 1 | sin(π/2) = 1
Cosine cos(x)
Adjacent / Hypotenuse
cos(0°) = 1 | cos(π) = −1
Adjacent / Hypotenuse
cos(0°) = 1 | cos(π) = −1
Tangent tan(x)
sin(x) / cos(x)
tan(45°) = 1 | tan(π/4) = 1
sin(x) / cos(x)
tan(45°) = 1 | tan(π/4) = 1
Arcsine sin⁻¹(x)
Inverse of sin, result ∈ [−90°, 90°]
sin⁻¹(1) = 90° = π/2
Inverse of sin, result ∈ [−90°, 90°]
sin⁻¹(1) = 90° = π/2
Arccosine cos⁻¹(x)
Inverse of cos, result ∈ [0°, 180°]
cos⁻¹(0) = 90° = π/2
Inverse of cos, result ∈ [0°, 180°]
cos⁻¹(0) = 90° = π/2
Arctangent tan⁻¹(x)
Inverse of tan, result ∈ (−90°, 90°)
tan⁻¹(1) = 45° = π/4
Inverse of tan, result ∈ (−90°, 90°)
tan⁻¹(1) = 45° = π/4
Logarithm log₁₀(x)
Log base 10 (common log)
log(100) = 2 | log(1000) = 3
Log base 10 (common log)
log(100) = 2 | log(1000) = 3
Natural Log ln(x)
Log base e ≈ 2.718
ln(e) = 1 | ln(1) = 0
Log base e ≈ 2.718
ln(e) = 1 | ln(1) = 0
Exponential eˣ
e raised to power x
e¹ ≈ 2.718 | e⁰ = 1
e raised to power x
e¹ ≈ 2.718 | e⁰ = 1
Square Root √x
Number that squares to x
√9 = 3 | √2 ≈ 1.414
Number that squares to x
√9 = 3 | √2 ≈ 1.414
Cube Root ∛x
Number that cubed gives x
∛8 = 2 | ∛27 = 3
Number that cubed gives x
∛8 = 2 | ∛27 = 3
Square x²
Multiplies x by itself
4² = 16 | 3² = 9
Multiplies x by itself
4² = 16 | 3² = 9
Cube x³
x multiplied by itself twice
2³ = 8 | 3³ = 27
x multiplied by itself twice
2³ = 8 | 3³ = 27
Power xʸ
x raised to the power y
2^10 = 1024 | 5^3 = 125
x raised to the power y
2^10 = 1024 | 5^3 = 125
Factorial n!
1 × 2 × … × n
5! = 120 | 10! = 3628800
1 × 2 × … × n
5! = 120 | 10! = 3628800
Absolute Value |x|
Distance from zero (always ≥ 0)
|−5| = 5 | |3| = 3
Distance from zero (always ≥ 0)
|−5| = 5 | |3| = 3
Reciprocal 1/x
Multiplicative inverse of x
1/4 = 0.25 | 1/2 = 0.5
Multiplicative inverse of x
1/4 = 0.25 | 1/2 = 0.5
Pi π
Ratio of circumference to diameter
π ≈ 3.14159265… (constant)
Ratio of circumference to diameter
π ≈ 3.14159265… (constant)
Euler's number e
Base of natural logarithm
e ≈ 2.71828… (constant)
Base of natural logarithm
e ≈ 2.71828… (constant)
Numeric Differentiation d/dx f(x) at x
Trig angle unit:
Auto-applied to sin, cos, tan and inverses
Numeric Integration ∫ f(x)dx from a to b
Trig angle unit:
Auto-applied to sin, cos, tan and inverses
Extra Functions
Floor ⌊x⌋
Rounds down to nearest integer
⌊3.7⌋ = 3 | ⌊−2.1⌋ = −3
Rounds down to nearest integer
⌊3.7⌋ = 3 | ⌊−2.1⌋ = −3
Ceiling ⌈x⌉
Rounds up to nearest integer
⌈3.1⌉ = 4 | ⌈−2.9⌉ = −2
Rounds up to nearest integer
⌈3.1⌉ = 4 | ⌈−2.9⌉ = −2
Round
Rounds to nearest integer
round(3.5) = 4 | round(3.4) = 3
Rounds to nearest integer
round(3.5) = 4 | round(3.4) = 3
Sign sgn(x)
Returns −1, 0, or +1
sgn(5) = 1 | sgn(−3) = −1 | sgn(0) = 0
Returns −1, 0, or +1
sgn(5) = 1 | sgn(−3) = −1 | sgn(0) = 0
Random
Generates a random number in [0, 1)
rand → e.g. 0.7342
Generates a random number in [0, 1)
rand → e.g. 0.7342
Modulo a mod b
Remainder after division
10 mod 3 = 1 | 7 mod 2 = 1
Remainder after division
10 mod 3 = 1 | 7 mod 2 = 1
Log base 2 log₂(x)
Logarithm with base 2
log₂(8) = 3 | log₂(1024) = 10
Logarithm with base 2
log₂(8) = 3 | log₂(1024) = 10
Hyperbolic Sine sinh(x)
sinh(x) = (eˣ − e⁻ˣ) / 2
sinh(0) = 0 | sinh(1) ≈ 1.175
sinh(x) = (eˣ − e⁻ˣ) / 2
sinh(0) = 0 | sinh(1) ≈ 1.175
Hyperbolic Cosine cosh(x)
cosh(x) = (eˣ + e⁻ˣ) / 2
cosh(0) = 1 | cosh(1) ≈ 1.543
cosh(x) = (eˣ + e⁻ˣ) / 2
cosh(0) = 1 | cosh(1) ≈ 1.543
Hyperbolic Tangent tanh(x)
tanh(x) = sinh(x)/cosh(x) ∈ (−1, 1)
tanh(0) = 0 | tanh(1) ≈ 0.762
tanh(x) = sinh(x)/cosh(x) ∈ (−1, 1)
tanh(0) = 0 | tanh(1) ≈ 0.762
Number System Converter
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Function Plotter
Drag to pan · Scroll to zoom · x range optional · f(x) or f(y) · Supports: sin cos tan sqrt log abs PI E ^