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Scientific Calculator

 
 
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About This Scientific Calculator

This free online scientific calculator supports all standard scientific and mathematical operations including trigonometric functions, logarithms, exponents, factorials, and more. It works on desktop, tablet, and mobile.

Keyboard Shortcuts

0–9, ., +, -, *, /Enter numbers and operators
Enter / =Calculate result
EscapeClear all (AC)
BackspaceDelete last character
( and )Parentheses
%Percentage / Modulo
^Power (x to the y)

How to Use Scientific Functions

  • Trigonometry (sin, cos, tan): Enter the angle, then press the function. Angle mode shown in display (DEG/RAD).
  • Inverse trig (sin⁻¹, cos⁻¹, tan⁻¹): Enter the value (between -1 and 1 for sin/cos), then press.
  • Logarithms: log = base-10 logarithm, ln = natural logarithm
  • Powers: Use for squaring, for cubing, for arbitrary power (press after first number, enter exponent, then =)
  • Roots: = square root of the current entry
  • Factorial (n!): Enter a non-negative integer, then press n!
  • Constants: π ≈ 3.14159265..., e ≈ 2.71828182...

Common Scientific Calculations

Area of a circle: π × r² → Enter r, press x², press ×, press π, press =
Pythagorean theorem: √(a² + b²) → Enter a², +, b², then √
Compound interest: P × (1 + r)^n → Use xʸ for the power
Decibels: 10 × log(P₁/P₂) → Divide, then log, then ×10
pH calculation: −log[H⁺] → Enter concentration, press log, press +/−

Order of Operations

This calculator follows PEMDAS/BODMAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). So entering 2 + 3 × 4 correctly evaluates to 14, not 20. Use parentheses to override the default order: (2 + 3) × 4 = 20.

Key Trigonometric Values to Know

Essential values in degree mode: sin(0°) = 0, sin(30°) = 0.5, sin(45°) = 0.707, sin(60°) = 0.866, sin(90°) = 1. cos(0°) = 1, cos(30°) = 0.866, cos(60°) = 0.5, cos(90°) = 0. tan(0°) = 0, tan(30°) = 0.577, tan(45°) = 1, tan(60°) = 1.732. These values appear constantly in physics, engineering, and geometry problems.

When to Use DEG vs RAD Mode

Use DEG mode for everyday problems: construction angles, navigation, surveying, and most high school/college physics. Use RAD mode for calculus, signal processing, and advanced physics — in these fields, angles in radians simplify the math significantly (the derivative of sin(x) is cos(x) only when x is in radians). If you get strange results from trig functions, check your mode first.

Practical Real-World Uses

  • Electricians: Power factor calculations use cos(θ); 3-phase power uses √3
  • Carpenters: Rafter length = run ÷ cos(pitch angle); use tan for rise-over-run
  • Finance: Compound interest: A = P × e^(rt) uses the e^x function for continuous compounding
  • Chemistry: pH = −log[H⁺]; equilibrium constants use log/ln extensively
  • Acoustics: Decibels: dB = 10 × log(P₁/P₂) — directly using the log function

Scientific Calculator Online – Advanced Math Calculator

This free scientific calculator online handles everything from basic arithmetic to advanced math functions including trigonometry (sin, cos, tan), logarithms, exponents, square roots, and factorials. As a full-featured math calculator online, it is designed for students, engineers, and anyone needing more than a simple calculator.

The advanced calculator uses standard order of operations and supports both degree and radian modes for trigonometric functions. Whether you need a math calculator online for homework, exams, or professional work, this tool delivers accurate results instantly on any device.

How to Use This Scientific Calculator

Why Use EasyCalculator.live?

Frequently Asked Questions

What is the difference between sin, cos, and tan? +

These trigonometric functions relate angles to side ratios in right triangles. sin(θ) = opposite ÷ hypotenuse; cos(θ) = adjacent ÷ hypotenuse; tan(θ) = opposite ÷ adjacent = sin ÷ cos. Key values: sin(30°) = 0.5, cos(60°) = 0.5, tan(45°) = 1. Remember: SOH-CAH-TOA.

What does the log button do? +

log calculates the base-10 logarithm: the power to which 10 must be raised to equal the input. log(100) = 2 because 10² = 100; log(1000) = 3. ln calculates the natural logarithm (base e). log is used in pH calculations (pH = −log[H⁺]), decibels (10×log of power ratio), and the Richter earthquake scale.

What is the difference between degrees and radians? +

Degrees divide a circle into 360 equal parts. Radians measure angle as arc length ÷ radius — a full circle = 2π ≈ 6.283 radians. Key conversions: 180° = π rad; 90° = π/2 rad; 45° = π/4 rad. Use DEG for everyday problems; use RAD for calculus and physics (where the derivative of sin(x) = cos(x) only holds in radians).

How do I calculate a factorial? +

A factorial (n!) is the product of all positive integers from 1 to n. 5! = 5×4×3×2×1 = 120. By definition, 0! = 1. Factorials grow explosively: 10! = 3,628,800; 20! ≈ 2.4 × 10¹⁸. They appear in combinations (C(n,r) = n! ÷ (r! × (n−r)!)) and probability calculations.

How do I raise a number to a power? +

Press the xʸ button (or ^ on keyboard): enter the base, press xʸ, enter the exponent, press =. Example: 2 xʸ 10 = 1,024. Dedicated buttons: x² squares the number (shortcut), x³ cubes it. Negative exponents: 2^−3 = 1/8 = 0.125. Fractional exponents: 8^(1/3) = 2 (cube root of 8).

What is Euler's number (e)? +

Euler's number e ≈ 2.71828 is the base of the natural logarithm and one of the most important constants in mathematics. It arises naturally in continuous growth: bank interest compounded continuously uses A = Pe^(rt). It appears throughout calculus, probability theory (normal distribution), and complex number analysis.

What does the INV or 2nd button do? +

INV (Inverse) or 2nd toggles a second layer of functions on the same buttons. It unlocks: sin⁻¹ (arcsin — finds the angle from a ratio), cos⁻¹, tan⁻¹, 10^x (inverse of log), e^x (inverse of ln). Use arcsin/cos/tan when you know a side ratio and need to find the angle: if sin(θ) = 0.5, then θ = sin⁻¹(0.5) = 30°.

How is a scientific calculator different from a basic calculator? +

A basic calculator handles + − × ÷ only. A scientific calculator adds trig functions, logarithms, exponents, roots, factorials, constants (π, e, φ), and supports degree/radian switching. Critically, scientific calculators follow strict order of operations (PEMDAS), while simple left-to-right calculators give wrong answers for expressions like 2+3×4.