Expression
Enter mathematical expressions on multiple lines. Press Shift+Enter or click Calculate to evaluate.
Variables
Currently defined variables
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History
Recent calculations (use ans or _)
No history yet
Examples
Basic: 2 + 3 * 4, (5 - 2)^3
Power: 2^8, 10**3, 4^0.5
Functions: sin(pi/2), sqrt(16), log10(100)
Complex: 2 + 3j, sqrt(-1), j^2
Variables: x = 5, y = x * 2
History: ans * 2, _ + 10
Available Functions
Trig: sin, cos, tan, asin, acos, atan
Power: sqrt, cbrt, exp, pow(a,b)
Log: log, log10, log2
Rounding: round, ceil, floor, abs
Complex: i or j (√-1), re(), im(), conj(), arg()
Other: factorial(n), gcd, lcm
Constants: pi, e, tau
Quick Reference Guide
Comprehensive list of available functions and usage examples
Getting Started
Enter mathematical expressions and press Enter or click Calculate to evaluate.
Variables can be assigned and reused: x = 5, then use x * 2
Access previous result with ans or
_
Operators
+ Addition
- Subtraction
* Multiplication
/ Division
% Modulo
^ or ** Power (exponentiation)
( ) Parentheses for grouping
Functions by Category
Trigonometric
sin(x), cos(x), tan(x)
asin(x), acos(x), atan(x)
atan2(y, x)
sinh(x), cosh(x), tanh(x)
Exponential & Log
exp(x) - e^x
log(x) - natural log (ln)
log10(x) - base 10
log2(x) - base 2
sqrt(x) - square root
cbrt(x) - cube root
Rounding
round(x) - nearest integer
ceil(x) - round up
floor(x) - round down
abs(x) - absolute value
sign(x) - sign of number
Complex Numbers
i or j - imaginary unit (√-1)
re(z) - real part
im(z) - imaginary part
conj(z) - conjugate
arg(z) - argument (angle)
abs(z) - magnitude
Number Theory
factorial(n) - n!
gcd(a, b) - greatest common divisor
lcm(a, b) - least common multiple
mod(x, y) - modulo
Statistics
min(a, b, ...) - minimum
max(a, b, ...) - maximum
mean(a, b, ...) - average
median([a, b, ...]) - median
Other
pow(a, b) - a^b
hypot(a, b) - √(a²+b²)
random() - 0 to 1
Mathematical Constants
pi 3.14159...
e 2.71828...
tau 6.28318... (2π)
phi 1.61803... (golden ratio)
Practical Examples
Circle Calculations
r = 5
area = pi * r^2 → 78.5398...
circumference = 2 * pi * r → 31.4159...
Temperature Conversion
celsius = 25
fahrenheit = celsius * 9/5 + 32 → 77
Quadratic Formula
a = 1, b = -5, c = 6
x1 = (-b + sqrt(b^2 - 4*a*c)) / (2*a) → 3
x2 = (-b - sqrt(b^2 - 4*a*c)) / (2*a) → 2
Compound Interest
principal = 1000
rate = 0.05
years = 10
amount = principal * (1 + rate)^years → 1628.89
Complex Number Examples
Basic Complex Operations
z1 = 3 + 4j → 3 + 4j
z2 = 1 - 2j → 1 - 2j
z1 + z2 → 4 + 2j
z1 * z2 → 11 - 2j
Complex Functions
sqrt(-1) → j
j^2 → -1
exp(j * pi) + 1 → 0 (Euler's identity)
abs(3 + 4j) → 5
Complex Properties
z = 3 + 4j
re(z) → 3 (real part)
im(z) → 4 (imaginary part)
conj(z) → 3 - 4j (conjugate)
arg(z) → 0.927... (angle in radians)
Quadratic with Complex Roots
a = 1, b = 2, c = 5
discriminant = b^2 - 4*a*c → -16
x1 = (-b + sqrt(discriminant)) / (2*a) → -1 + 2j
x2 = (-b - sqrt(discriminant)) / (2*a) → -1 - 2j
Tips & Tricks
• Use parentheses to control order of operations:
(2 + 3) * 4 = 20
vs 2 + 3 * 4 = 14• Chain calculations using ans:
100 + 50, then ans / 3• Store intermediate results in variables for complex calculations
• Angles in trigonometric functions are in radians. Use
sin(45 * pi/180) for degrees• Use
j for complex numbers (engineering
notation). Example: 3 + 4j or
sqrt(-1) returns
j• All functions automatically handle both real and complex inputs. Try
sin(j) or exp(j * pi)• Click on any history item to reuse that expression
For advanced calculations and data analysis, use Google Colab