Scientific Calculator

A scientific calculator is essential for anyone working beyond basic arithmetic — students solving physics problems, engineers calculating circuit values, chemists converting moles, or data scientists running statistical tests. This free online scientific calculator provides every function you'd find on a TI-84 or Casio fx-991, right in your browser. No app downloads, no batteries, no cost — just

What this calculator does

## Available Functions The scientific calculator includes a complete set of mathematical functions organized into clear categories: **Trigonometry**: sin, cos, tan, and their inverses (asin, acos, atan). Switch between degree and radian mode depending on your problem. **Logarithms**: log (base 10) for engineering and chemistry, and ln (natural log, base e) for calculus and finance. **Powers & Roots**: x², x³, √x, ∛x, xʸ (any power), 10ˣ, eˣ. **Constants**: π (3.14159…) and e (2.71828…) — the two most important mathematical constants. **Utility**: 1/x (reciprocal), n! (factorial), % (percentage), and parentheses for controlling order of operations.

How it works

## Degrees vs. Radians The DEG/RAD toggle is critical for trigonometric calculations. **Degrees** are used in geometry, navigation, and everyday angle measurement (a right angle = 90°). **Radians** are the standard in calculus, physics, and engineering (a right angle = π/2 ≈ 1.5708 radians). Using the wrong mode is one of the most common errors in scientific calculations — always check before computing trig functions. Conversion: radians = degrees × (π/180). So 45° = 0.7854 rad, 180° = π rad, 360° = 2π rad.

## Common Scientific Calculations **Physics — Projectile Motion**: To find the horizontal distance of a projectile: d = (v² × sin(2θ)) / g. With v=20 m/s, θ=45°, g=9.81: d = (400 × sin(90°)) / 9.81 = 400/9.81 = 40.8 m. **Chemistry — pH Calculation**: pH = −log₁₀[H⁺]. For a solution with [H⁺] = 0.001 M: pH = −log(0.001) = 3. **Finance — Compound Interest**: A = P × e^(rt) for continuous compounding.

,000 at 5% for 10 years: A = 1000 × e^(0.5) = 1000 × 1.6487 =
,648.72. **Statistics — Standard Normal Distribution**: The probability density function uses e^(−x²/2), requiring both exponential and power functions.

When to use this calculator

This tool is most valuable when you need a result to compare against something else: a quoted figure, a competing option, or a budget threshold. Accurate comparisons require accurate inputs and arithmetic — this calculator ensures both.

Common mistakes

Many errors with this type of calculation stem from unit inconsistency: mixing metric and imperial, or mixing annual and monthly rates. Ensure all inputs use the same unit system before running the calculation.

Real-world scenarios

A business owner spots that revenue grew from £180,000 last year to £213,400 this year. The calculator confirms the increase is 18.6% — a figure needed for the annual report and for comparing against the industry growth rate cited in the sector report.

Formula

Core Scientific Functions

sin(θ) cos(θ) tan(θ) | log₁₀(x) ln(x) | x² √x xʸ | n!

θ in degrees or radians. log = base 10. ln = natural log (base e ≈ 2.71828). x^y = x raised to the power y. n! = n factorial.

Worked example

Find the hypotenuse of a right triangle with legs a=5 and b=12 using the Pythagorean theorem.

  1. Press 5, then x²: result = 25
  2. Press + then 12, then x²: + 144
  3. Total = 169
  4. Press √: result = 13

Result: Hypotenuse = 13 — confirmed by the 5-12-13 Pythagorean triple

Frequently asked questions

What functions does the scientific calculator include?

Sin, cos, tan, asin, acos, atan, x², √, x³, ∛, log (base 10), ln (natural log), 10^x, e^x, x^y, π, e, 1/x, n!, %, and memory functions (M+, M−, MR, MC).

Does it work in radians or degrees?

Both. Use the DEG/RAD toggle to switch modes. Degrees are standard for geometry; radians for calculus and physics.

What is the difference between log and ln?

log(x) is the common logarithm (base 10), used in engineering, chemistry (pH), and decibel calculations. ln(x) is the natural logarithm (base e ≈ 2.71828), used in calculus, compound interest, and population growth models.

Can I use the calculator on my phone?

Yes. The scientific calculator is fully responsive and optimized for smartphones and tablets. All buttons are touch-friendly and the display adjusts to screen size.

What is the order of operations used?

The scientific calculator follows standard mathematical order of operations (PEMDAS/BODMAS): Parentheses first, then Exponents, then Multiplication/Division, then Addition/Subtraction.

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