Universal Calculator
TAIIR

📐 Professional Math Expression Calculator

Evaluate complex expressions with full scientific functions. Toggle DEG/RAD, use factorial, combinations, and more.

Result 0

Memory: 0

📋 Try these expressions

🔧 Supported Functions

sin, cos, tanasin, acos, atan sqrt, cbrtlog (base10), ln abs, expfactorial (!) nCr, nPrrand() floor, ceil, roundpi, e constants +, -, *, /, %, ^Parentheses ( )

Use * for multiplication. DEG/RAD toggle affects trig functions. factorial(n) = n! ; nCr(n,k) = C(n,k).

Mastering Mathematical Expressions: The Ultimate Online Evaluator

Whether you're a student verifying algebra homework, an engineer prototyping calculations, or a data analyst double‑checking formulas, the Professional Math Expression Calculator delivers instant, accurate results with full scientific notation support. This tool is designed to be the most intuitive and powerful free expression evaluator on the web—combining a sleek, mobile‑first interface with a robust parsing engine that respects standard mathematical precedence and supports a wide array of functions, including factorial, combinations, and permutations.

Why This Calculator Outperforms the Competition

  • Comprehensive Function Library: Beyond basic arithmetic, it includes trigonometric functions (with DEG/RAD toggle), inverse trig, logarithms (base 10 and natural), exponentiation, roots, factorial (!), combinations (nCr), permutations (nPr), random number generation, and rounding functions (floor, ceil, round).
  • Strict Order of Operations (PEMDAS/BODMAS): The evaluator correctly prioritizes parentheses, exponents, multiplication/division, and addition/subtraction, eliminating common user errors.
  • Privacy‑First & Instant: All calculations run locally in your browser—no data is sent to any server. Results appear as you type or press equals.
  • Mobile‑Optimized Keypad: Thumb‑friendly buttons with tactile feedback and a large expression display make it effortless to use on any device.
  • Educational Value: Each button press and example reinforces correct syntax, making it a learning tool as much as a utility.

💡 Pro Tip: DEG vs RAD Mode

Always check the angle unit toggle before using trigonometric functions. In RAD mode, sin(pi/2) = 1; in DEG mode, sin(90) = 1. The calculator automatically converts arguments and results when DEG is active, ensuring correct results for real‑world angle measurements.

Deep Dive: How the Expression Evaluator Works

Under the hood, the calculator employs a secure, whitelist‑based parser that transforms your input into a JavaScript expression evaluated using the Function constructor with a sandboxed Math context. Allowed characters are strictly filtered, and function names are mapped to their Math equivalents or custom implementations (e.g., factorial, nCr). For degree mode, a preprocessing step wraps trigonometric arguments with a conversion factor (* π/180) and inverse results with * 180/π. This approach guarantees both safety and high performance, handling even deeply nested expressions like sqrt( (3+5)*sin(pi/6)^2 ) effortlessly.

Common Use Cases Across Disciplines

  • Algebra & Pre‑Calculus: Simplify polynomials, evaluate functions, and verify solutions.
  • Trigonometry: Solve for unknown angles or side lengths using sine, cosine, and tangent.
  • Physics & Engineering: Compute kinetic energy (0.5*m*v^2), projectile motion, or electrical impedance.
  • Statistics & Probability: Calculate combinations (nCr) and permutations (nPr) for counting problems.
  • Computer Science: Test modulo operations, logarithmic complexity, or generate random numbers for simulations.

Best Practices for Accurate Results

  • Always use * for multiplication—implicit multiplication (e.g., 2(3+1)) is not supported.
  • For exponentiation, use the caret symbol ^ (e.g., 2^3 = 8).
  • Wrap function arguments in parentheses: sin(30), not sin30.
  • Use factorial(5) for 5!; nCr(10,3) for C(10,3); nPr(10,3) for P(10,3).
  • Check the DEG/RAD toggle before trigonometric calculations.

Frequently Asked Questions

Can I use this calculator offline?

Yes! Once the page is loaded, all calculations run entirely in your browser. You can even save the page for offline use.

What is the maximum expression length?

There is no hard limit, but extremely long expressions (>500 characters) may become unwieldy. The parser handles typical academic and professional expressions with ease.

Why do I get "Invalid Expression" sometimes?

This occurs if the syntax is incorrect (e.g., unmatched parentheses, missing operators) or if an unsupported function is used. Double‑check your input against the supported functions list.

How precise are the results?

Results are computed using IEEE 754 double‑precision floating‑point numbers, providing approximately 15‑17 significant decimal digits. The display rounds to 10 decimal places for readability.

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