🔬Scientific Calculator
Evaluate complex mathematical expressions including trigonometry, logarithms, exponents, factorials, and constants like pi and e.
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Free Online Scientific Calculator: Trig, Logs, Exponents and More
A scientific calculator is the go-to tool for students, engineers, and anyone tackling advanced math problems. This free online scientific calculator evaluates full expressions covering trigonometry, logarithms, exponents, square roots, factorials, and constants like pi and e. Type your expression in natural math notation, choose your angle mode, and get an accurate result instantly without downloading any app.
Free Scientific Calculator with Trigonometry Functions
Trigonometry is one of the most common reasons people reach for a scientific calculator. This tool supports sine, cosine, and tangent for any angle, plus their inverse functions for working backwards from a ratio to an angle.
- sin(x) returns the sine of x, the ratio of the opposite side to the hypotenuse in a right triangle.
- cos(x) returns the cosine of x, the ratio of the adjacent side to the hypotenuse.
- tan(x) returns the tangent, which equals sine divided by cosine.
- asin, acos, atan are the inverse functions that recover an angle from a ratio.
The most critical setting when working with trigonometry is the angle mode. Switch between degrees and radians depending on your problem. In degree mode, sin(90) = 1. In radian mode, the same input means 90 radians, which is a completely different angle. Always confirm your angle mode before calculating sine, cosine, or tangent values.
Scientific Calculator with Exponents and Logarithms
Exponents and logarithms are two sides of the same operation, and both are fully supported here.
Use the caret operator (^) to raise any number to a power. For example, 2^8 = 256, and 10^3 = 1000. Fractional exponents compute roots: 27^(1/3) returns the cube root of 27, which is 3. The dedicated square root function, sqrt(), is faster for the most common case.
Three logarithm functions are available:
- log(x) computes the base-10 logarithm, used in pH calculations, decibels, and the Richter scale.
- ln(x) computes the natural logarithm (base e), used in exponential growth, calculus, and statistics.
- log2(x) computes the binary logarithm, commonly used in computer science.
Remember that logarithms are only defined for positive inputs. Entering log(0) or ln(-5) will return an error.
Advanced Math Calculator Online Free: Factorials, Constants, and More
Beyond trigonometry and logarithms, this advanced math calculator includes several additional features useful across disciplines.
The factorial operator (!) multiplies a positive integer by every smaller positive integer. For example, 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720. Factorials grow rapidly and are fundamental to permutations, combinations, and probability calculations. Values larger than 170! exceed floating-point limits and return infinity.
Type "pi" to use the mathematical constant pi (3.14159...) or "e" to use Euler's number (2.71828...) directly inside any expression. For instance, 2 * pi * 5 correctly computes the circumference of a circle with radius 5.
Order of Operations and Expression Syntax
The calculator follows BODMAS (also known as PEMDAS) order of operations: parentheses are evaluated first, then exponents, then multiplication and division from left to right, then addition and subtraction. Use parentheses to make complex expressions unambiguous. For example, sin(pi/6) correctly evaluates sin of 30 degrees (when in degree mode) because the division inside the parentheses is computed first.
Combining operations freely is supported. The expression sqrt(3^2 + 4^2) computes the hypotenuse of a 3-4-5 right triangle in one step. Chained function calls like log(sqrt(100)) also work as expected.
Precision and Scientific Notation
Select between 2 and 10 decimal places to match the precision your problem requires. For results that are very large or very small, the calculator displays values in scientific notation alongside the standard form. This is especially useful in physics and chemistry, where values like Avogadro's number (6.022 x 10^23) or the charge of an electron (1.602 x 10^-19) span many orders of magnitude.
Frequently Asked Questions
What functions does a scientific calculator have?
A scientific calculator includes arithmetic operators, exponents, square roots and other roots, trigonometric functions (sine, cosine, tangent) and their inverses, hyperbolic functions, logarithms (base 10, natural log, and base 2), factorials, absolute value, rounding functions, and mathematical constants like pi and e. This online scientific calculator supports all of these through typed expressions.
How do I calculate sine and cosine on a calculator?
Type sin() or cos() with the angle inside the parentheses, for example sin(45) or cos(60). Before calculating, check whether your angle is in degrees or radians and set the angle mode accordingly. In degree mode, sin(90) = 1. In radian mode, the equivalent input is sin(pi/2) = 1. Mixing up the angle mode is the most common source of errors in trigonometry calculations.
What is the difference between a scientific and graphing calculator?
A scientific calculator evaluates individual expressions and returns numerical results. It handles trigonometry, logarithms, exponents, and similar operations. A graphing calculator does all of that and also plots functions as graphs on a coordinate plane, which makes it easier to visualize equations, find intersections, and analyze function behavior visually. For most coursework through calculus, a scientific calculator is sufficient. Graphing calculators are more useful when you need to see the shape of a function or find approximate roots visually.
How do I use radians vs degrees on a calculator?
Degrees and radians are two units for measuring angles. A full circle is 360 degrees or 2*pi radians. To convert degrees to radians, multiply by pi/180. To convert radians to degrees, multiply by 180/pi. On this calculator, select the angle mode that matches your problem before entering any trigonometric function. If your textbook or problem gives angles as 30, 45, 90, or 180, use degrees. If angles are expressed as pi/6, pi/4, or pi/2, use radians.