About the Scientific
A scientific calculator handles the operations beyond arithmetic: trigonometric functions, logarithms, exponentials, roots, powers, and factorials. These are the functions that appear throughout physics, engineering, statistics, and any coursework past introductory algebra.
The formula
sin θ, cos θ, tan θ, ln x, log₁₀ x, √x, xʸ, ʸ√x, eˣ, n!Trigonometric functions here take an angle in degrees. ln is the natural logarithm to base e, log₁₀ is the common logarithm, and n! is the factorial — the product of all integers from 1 to n.
How to use this calculator
- 1Enter your Value (x). The field starts at
45, which you can overwrite. - 2Enter your Value (y) - used for x^y, y√x. The field starts at
2, which you can overwrite. - 3Enter your Operation. The field starts at
sin, which you can overwrite. - 4Read the result straight away — it recalculates as you type, so there is no button to press. Use Share to copy a link that reopens the page with your exact numbers filled in.
Worked example
| Input | Value |
|---|---|
| Value (x) | 45 |
| Value (y) - used for x^y, y√x | 2 |
| Operation | sin |
Result
sin(45°) = 0.7071067812
Those are the values the page loads with, so you can reproduce this result yourself and then change one field at a time to see what drives the outcome.
Understanding your result
Trigonometric functions relate an angle to ratios of sides in a right triangle: sine is opposite over hypotenuse, cosine is adjacent over hypotenuse, and tangent is opposite over adjacent. Their inverses run the other way, taking a ratio and returning the angle that produces it. The single most common error is a degrees-versus-radians mismatch, so check which mode you need.
Logarithms answer "what exponent produces this number?" — log₁₀ 1000 is 3 because 10³ = 1000. They compress enormous ranges into manageable ones, which is why decibels, pH, and the Richter scale are all logarithmic. The natural logarithm uses base e ≈ 2.71828, which arises naturally in anything growing or decaying continuously.
Things worth knowing
- tan 90° is undefined because cosine is zero there, so the ratio divides by zero. Expect an error rather than a very large number.
- Inverse sine and cosine only accept inputs between −1 and 1, since no angle produces a ratio outside that range.
- Logarithms are undefined for zero and negative numbers in the real number system.
- Factorials grow explosively — 20! already exceeds 2 quintillion, and beyond about 170! most calculators overflow.
- A negative base with a fractional exponent has no real result, which is why (−8)^0.5 errors while (−8)^(1/3) is legitimately −2 in some conventions.
Frequently asked questions
Does this calculator use degrees or radians?+
Degrees. Angles are entered in degrees and converted internally, so sin 30 returns 0.5 as expected rather than the radian result.
What is the difference between ln and log?+
ln is the logarithm to base e ≈ 2.718, which appears in continuous growth and decay. log usually means base 10, which appears in scientific notation and measurement scales such as decibels and pH.
Why does my trigonometric answer look wrong?+
Nearly always a degrees-versus-radians mismatch. sin 30 is 0.5 in degrees but about −0.988 in radians. Confirm which unit your problem uses before comparing answers.
How do I calculate a root other than a square root?+
Use the nth root operation, or raise the number to the reciprocal power: the cube root of 27 is 27^(1/3) = 3. Both approaches give the same answer.