What is the difference between log and ln?

Log(x) refers to logarithm base 10 — it answers "10 raised to what power equals x?" Ln(x) is the natural logarithm, base e (≈ 2.71828), and answers "e raised to what power equals x?" For example, log(100) = 2 because 10² = 100, while ln(100) ≈ 4.605 because e^4.605 ≈ 100. Log base 10 is common in engineering scales like decibels and pH; ln is standard in calculus and continuous growth/decay problems.

How do I calculate the sine of an angle?

Enter the angle value, make sure the calculator is set to the correct mode (degrees or radians, matching how your angle is given), then press the sin function key. For example, sin(30°) = 0.5 in degree mode. If your angle is given in radians instead, switch to radian mode before pressing sin, since the same numeric input produces a different result in each mode.

Is this scientific calculator free?

Yes, this scientific calculator is completely free to use online with no download, signup, or login required. All functions — trigonometry, logarithms, exponents, roots, factorials, and memory — are available at no cost directly in your browser on any device.

What does the x! (factorial) button do?

Factorial multiplies a whole number by every positive whole number smaller than it. For example, 5! = 5 × 4 × 3 × 2 × 1 = 120. Factorials are used heavily in probability, statistics, and combinatorics to count arrangements and combinations. By definition, 0! = 1.

How do I know whether to use degree or radian mode?

Use degree mode when angles are given in degrees (0–360°), which is standard in most geometry and algebra courses and everyday measurements. Use radian mode when angles are given in radians (0–2π), which is standard in calculus, physics, and higher-level trigonometry. Check your textbook or problem statement — if it uses the ° symbol, use degrees; if it references π directly, use radians.

Can this calculator handle exponents and roots?

Yes. Use the x^y function to raise any base to any power (for example, 2^10 = 1024), and use the √x function to find square roots (or higher-order roots, depending on the input) of a number. These are the inverse operations of each other and are used throughout algebra, geometry, and physics.

What is an inverse trig function used for?

Inverse trig functions — sin⁻¹, cos⁻¹, and tan⁻¹ — take a ratio (like the ratio of two sides of a right triangle) and return the angle that produces it. For example, if you know the sine of an angle is 0.5, sin⁻¹(0.5) returns 30° (in degree mode). These are essential for solving for unknown angles in trigonometry and physics problems.

Why do I need a scientific calculator instead of a regular calculator?

A regular four-function calculator only handles addition, subtraction, multiplication, and division. A scientific calculator adds trigonometric functions, logarithms, exponents, roots, factorials, and often memory storage and constants like π and e — all of which are required for algebra, trigonometry, calculus, and most science and engineering coursework.

Scientific Calculator

Mathematics

Full scientific calculator with functions

Expression

A scientific calculator is the essential tool for anything beyond basic arithmetic — trigonometry, logarithms, exponents, roots, and factorials all require functions that a standard four-function calculator simply doesn't have. Our free online scientific calculator puts every one of these functions in your browser, so you never need to dig out a physical TI-84 or Casio fx-991 from a drawer to finish your homework or check a formula.

Enter a value, choose degree or radian mode, and apply sin, cos, tan (or their inverses), log base 10, natural log, powers, roots, or factorial — the result appears instantly, with full precision. Memory functions let you store intermediate results so you can chain multi-step calculations without re-typing numbers, and constants like π and e are built in.

Whether you're a student working through a trigonometry unit, an engineer double-checking a quick calculation, or anyone who needs a reliable scientific calculator with sin cos tan and logarithm support, this tool handles it in seconds — free, with no download and no login required.

Why Scientific Calculator Matters

Students hit a wall the moment algebra, trigonometry, precalculus, or calculus classes start requiring scientific functions. Homework problems ask you to find sin(θ), evaluate log or ln expressions, simplify exponents, or compute factorials for probability and combinatorics — none of which a basic calculator or phone's default app can do. Having a dependable scientific calculator on hand means you can verify your by-hand work, check units and angle modes, and move through problem sets faster without second-guessing arithmetic.

Engineers, physicists, and other technical professionals use these same functions constantly for quick, in-the-moment calculations — converting between radians and degrees, evaluating exponential decay or growth, computing signal magnitudes with logarithms, or working out combinations and permutations. A browser-based scientific calculator means these calculations are available on any device without carrying dedicated hardware.

Buying a physical graphing or scientific calculator like a TI-84 Plus or Casio fx-991EX can cost $20–$150, and many people only need it occasionally. A free, always-available online scientific calculator with the full standard function set — trig, log, ln, exponents, roots, factorial, memory — covers the vast majority of everyday and academic use cases at zero cost.

The Scientific Calculator Formula, Explained

Key Functions: sin(x), cos(x), tan(x), sin⁻¹(x), cos⁻¹(x), tan⁻¹(x), log(x), ln(x), x^y, √x, x!, π, e

Trigonometric functions (sin, cos, tan) relate an angle to the ratios of a right triangle's sides, and are used constantly in geometry, physics (waves, forces, rotation), and engineering. The critical detail is angle mode: sin(30) in degree mode equals 0.5, but sin(30) in radian mode equals about -0.988, because 30 radians is a completely different angle than 30 degrees. Always confirm your mode before evaluating a trig function. Inverse trig functions (sin⁻¹, cos⁻¹, tan⁻¹) work backward — given a ratio, they return the angle.

Log(x) is log base 10 — it answers "10 raised to what power gives x?" — and is used in fields like acoustics (decibels), chemistry (pH), and earthquake magnitude (Richter scale). Ln(x) is the natural log, base e (≈ 2.71828), and appears throughout calculus, exponential growth/decay, and continuous compounding. The two are related but not interchangeable: log(100) = 2 while ln(100) ≈ 4.605.

Exponents (x^y) represent repeated multiplication and drive exponential growth, compound interest, and power calculations. Roots (√x) are the inverse of exponents, answering "what number, squared (or cubed, etc.), gives x?" Factorial (x!) multiplies a whole number by every positive whole number below it (5! = 5×4×3×2×1) and is fundamental to probability, statistics, and combinatorics.

How to Use the Scientific Calculator: Step by Step

Select degree or radian mode
Before doing any trigonometry, check the DEG/RAD toggle. Most algebra and geometry classes use degrees; calculus and physics often use radians. This single setting is the most common source of wrong answers.
Enter your number
Type or click the digits of the value you want to work with, including decimals if needed. Use the backspace or clear key to fix mistakes before applying a function.
Choose your function
Press the desired function key — sin, cos, tan, log, ln, x^y, √, or x! — to apply it to the entered value. For two-input functions like x^y, enter the base, press the operator, then enter the exponent.
Use memory to chain calculations
Press M+ to add a result to memory, M- to subtract, and MR to recall it later. This lets you build multi-step calculations (like squaring a result and then taking its log) without re-entering numbers.
Combine operations with parentheses
For compound expressions such as sin(45) + log(100), use parentheses to control order of operations, then press equals to see the final combined result.

Scientific Calculator Examples: Real-World Scenarios

Finding Sine for a Physics Problem

A student needs the vertical component of a force applied at 30 degrees above horizontal, which requires sin(30°).

Angle:30

Mode:Degrees

Function:sin

Calculation

sin(30°) = 0.5

Result

sin(30°) = 0.5 exactly. If the applied force is 100 N, the vertical component is 100 × 0.5 = 50 N.

Evaluating a Logarithm for a Chemistry Problem

A student needs to know what power of 10 gives 1000, common in pH and decibel calculations.

Value:1000

Function:log (base 10)

Calculation

log(1000) = log(10^3) = 3

Result

log(1000) = 3, since 10^3 = 1000.

Computing a Power for Compound Growth

An engineer wants to know 2 raised to the 10th power, a common benchmark value in computing and exponential growth problems.

Base:2

Exponent:10

Function:x^y

Calculation

2^10 = 2×2×2×2×2×2×2×2×2×2 = 1024

Result

2^10 = 1024, a key reference value in binary and exponential-growth calculations.

Common Mistakes to Avoid

Mixing up degree and radian mode — evaluating sin(30) in radian mode gives approximately -0.988, not 0.5, because 30 radians is a far larger angle than 30 degrees. Always verify the mode before running a trig function.
Confusing log and ln — log(x) is base 10 and ln(x) is base e (natural log). Using the wrong one produces a completely different, incorrect result, since log(100) = 2 but ln(100) ≈ 4.605.
Order of operations errors — typing 2 + 3 × 4 expecting 20 instead of the correct 14 (multiplication before addition), or forgetting that a function like sin only applies to the number immediately following it.
Forgetting parentheses in compound expressions — an expression like log(2×5) needs the multiplication grouped inside the log function; entering it without parentheses can apply the log to only part of the expression.

Tips & Tricks

Always check the angle mode (DEG vs RAD) first when doing any trigonometry — it's the single most common source of wrong trig answers.
Use the memory keys (M+, M-, MR, MC) to hold an intermediate result during multi-step problems instead of writing numbers down and re-typing them.
When in doubt about order of operations, add parentheses explicitly around each sub-expression — it costs nothing and guarantees the calculator evaluates exactly what you intend.

From trigonometry homework to quick engineering checks, a full-featured scientific calculator covering sin, cos, tan, log, ln, exponents, roots, and factorials handles nearly every calculation you'll encounter outside of basic arithmetic — without the cost or hassle of a dedicated device. If you frequently work with exponential growth or logarithmic scales, our logarithm calculator and exponent calculator break those specific operations down further with step-by-step results. Bookmark this scientific calculator for fast, accurate answers whenever algebra, trigonometry, or physics work comes up.

Scientific Calculator — Frequently Asked Questions

Related Calculators

Logarithm Calculator

work through log and ln calculations step by step

Exponent Calculator

calculate powers and exponential expressions

Quadratic Equation Calculator

solve quadratic equations using the quadratic formula

Factorial Calculator

compute factorials for probability and combinatorics

Standard Deviation Calculator

analyze data spread using standard deviation

Authoritative References

Khan Academy — Trigonometry

khanacademy.org — Free lessons on sine, cosine, tangent, and inverse trig functions

Wolfram Alpha — Computational Engine

wolframalpha.com — Cross-check complex scientific and symbolic calculations

Math Is Fun — Logarithms

mathsisfun.com — Plain-language explanation of log and ln concepts

External links open in a new tab. OmniCalc.us is not affiliated with these organisations.

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