Trigonometry Calculator
Calculate sine, cosine, tangent, and their inverse functions. Supports both degrees and radians mode.
Perfect for geometry, physics, and engineering calculations.
Scientific Calculator
Our free online scientific calculator provides all the functions you need for advanced mathematics, engineering, and science calculations. Features include trigonometric functions (sin, cos, tan), logarithms, exponents, roots, factorials, and scientific notation with detailed step-by-step explanations.
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Updated: July 2026
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Scientific Calculator calculator
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Keyboard Shortcuts
Basic Operations
Numbers0-9
Add+
Subtract-
Multiply*
Divide/
EqualsEnter
ClearEsc
Delete⌫
Scientific Functions
SineS
CosineShift+S
TangentT
Natural LogL
Log₁₀Shift+L
Square RootR
Power^
Factorial!
Interface Controls
HistoryH
ScientificF
DEG/RADD
NegateN
Pi (π)P
Euler's eE
Tips
- • Press F to toggle scientific functions
- • Use D to switch DEG/RAD mode
- • Press H to view history
- • Use parentheses ( ) for complex expressions
How to Use the Scientific Calculator
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Select Type
Choose basic, trigonometry, logarithm, power, or factorial operations.
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Enter Values
Input the number(s) for your calculation.
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Choose Operation
Select the specific function (sin, log, sqrt, etc.).
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View Result
See the result with step-by-step explanation.
The Formula
Scientific calculators perform advanced mathematical operations including trigonometry, logarithms, exponents, and more.
Various mathematical functions and operations
lightbulb Variables Explained
- sin, cos, tan Trigonometric functions
- log, ln Logarithmic functions (base 10 and natural)
- x^y, e^x Exponential operations
- sqrt, cbrt Square root and cube root
tips_and_updates Pro Tips
1
Switch between degrees and radians for trigonometric functions
2
Use log for base-10 logarithm and ln for natural logarithm
3
Factorial (n!) is only valid for non-negative integers
4
Use parentheses to control order of operations
5
e ≈ 2.71828 and π ≈ 3.14159
6
For inverse trig functions, use asin, acos, atan
Perform complex mathematical calculations with our free online scientific calculator. Features trigonometry, logarithms, exponents, roots, factorials, and more with detailed step-by-step solutions.
Logarithm Calculator
Compute common logarithms (log₁₀), natural logarithms (ln), and logarithms with custom bases.
Step-by-step solutions help you understand the calculations.
Exponent and Power Calculator
Calculate powers, exponentials, and roots including square root, cube root, and nth root — the same square-root operation a quadratic equation solver relies on to find the roots of ax² + bx + c.
Handle scientific notation with ease.
Factorial and Combinatorics
Calculate factorials (n!), permutations (nPr), and combinations (nCr).
Essential for probability, statistics, and combinatorics problems.
Scientific Notation Calculator
Convert between standard and scientific notation.
Handle very large or very small numbers with precision.
Engineering Calculator
A complete scientific calculator for engineering students and professionals.
All the functions you need for technical calculations.
What Is a Scientific Calculator and How Does It Work?
A scientific calculator is an electronic (or online) tool that evaluates advanced mathematical functions beyond simple arithmetic, including trigonometry, logarithms, exponents, roots, and factorials.
It works by parsing your expression, applying the standard order of operations, and computing each function using well-defined mathematical definitions.
For example, the sine function returns the ratio of the opposite side to the hypotenuse in a right triangle, and sin(30°) equals exactly 0.5; for everyday part-to-part ratios that have nothing to do with angles, a plain ratio calculator is all you need.
According to Encyclopaedia Britannica, the first electronic scientific calculators appeared in the early 1970s, replacing slide rules and log tables for engineers, students, and scientists worldwide.
How to Use the Order of Operations (PEMDAS) Correctly
To evaluate any expression correctly, apply the order of operations:
- Parentheses
- Exponents
- Multiplication and Division (left to right)
- then Addition and Subtraction (left to right)
commonly remembered as PEMDAS or BODMAS.
For example, 2 + 3 × 4 equals 14, not 20, because multiplication is performed before addition. Adding parentheses changes the result: (2 + 3) × 4 equals 20.
Khan Academy notes that this hierarchy ensures every expression has one unambiguous value. Our calculator follows these conventions automatically, so use parentheses whenever you need to force a specific grouping such as exponents, roots, or a fraction like (2 + 3)/5 — and for reducing or adding fractions on their own, a dedicated fraction calculator is faster.
How to Calculate Factorials, Permutations, and Combinations
A factorial (written n!) multiplies every positive integer up to n, so 5! = 5 × 4 × 3 × 2 × 1 = 120 and 6! = 720.
Factorials power two key combinatorics formulas:
- permutations nPr = n! / (n − r)! count ordered arrangements
- combinations nCr = n! / [r!(n − r)!] count unordered selections
For instance, choosing 2 items from 4 gives 4C2 = 6.
Wolfram MathWorld defines 0! as equal to 1 by convention, which keeps these formulas consistent. Factorials grow extremely fast, which is why they are central to probability, statistics, and counting problems.
Real-World Uses of a Scientific Calculator
Scientific calculators are essential across many fields.
- Engineers use trigonometric and exponential functions to analyze forces, signals, and structures
- physicists rely on logarithms for decibel and pH-style scales
- finance students apply exponents for compound growth
Students preparing for exams like the SAT, ACT, and A-Levels use them for algebra, geometry, and statistics.
According to the NIST Digital Library of Mathematical Functions (DLMF), functions such as the exponential e^x and natural logarithm ln(x) underpin countless scientific models. Because e^x and ln(x) are inverses, ln(e) = 1 and e^0 = 1, a relationship used constantly in calculus and growth modeling.
Common Mistakes to Avoid With a Scientific Calculator
- The most frequent error is leaving the calculator in the wrong angle mode: sin(30) equals 0.5 in degrees but about −0.988 in radians, so always confirm degrees or radians first.
- Another common mistake is confusing log (base 10) with ln (base e); log(100) = 2 because 10² = 100, while ln(100) ≈ 4.605.
- Forgetting parentheses also causes errors, since −3² is often read as −(3²) = −9 rather than 9.
- Finally, factorials are only defined for non-negative integers, so 3.5! or (−2)! will not compute.
Khan Academy recommends re-checking mode and grouping before trusting any result.
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