Scientific Calculator

Evaluate common trigonometric, exponential, logarithmic, and rounding operations safely.

Enter your values

Change any field. The result is recalculated on this device.

Formula, example and assumptions
Result0.7071067812

Your result

Local calculation
Result0.7071067812

The result applies the selected operation to your value. For trigonometry, the angle setting controls input angles or, for inverse functions, the angle returned.

Operation
Sine
Angle unit
Degrees
See how this is calculated
Check the inputs and method

These are your current inputs, not the worked example further down the page.

Value
45
Operation
Sine
Angle unit
Degrees

Method

Degrees convert to radians by θrad = θdeg × π/180. Evaluate sin θ, cos θ or tan θ = sin θ/cos θ; inverse functions recover their principal angle. exp(x) = eˣ; ln(x) reverses eˣ. |x| removes the sign; floor and ceiling select the adjacent lower or higher integer.

Read the worked example and assumptions

How this calculation works

Apply one selected scientific operation to one value. Trigonometric operations use the chosen angle unit; inverse trigonometric functions return an angle in that unit. This is a function evaluator, not an expression parser: combine steps separately when your problem contains several operations.

Degrees convert to radians by θrad = θdeg × π/180. Evaluate sin θ, cos θ or tan θ = sin θ/cos θ; inverse functions recover their principal angle. exp(x) = eˣ; ln(x) reverses eˣ. |x| removes the sign; floor and ceiling select the adjacent lower or higher integer.

Worked example

This example uses illustrative inputs. Your current result is shown above.

Choose sine, degrees and value 30. Convert 30 × π/180 = π/6 radians; sin(π/6) = 1/2, so the result is 0.5.

Assumptions and limits

  • Only finite real-valued outputs are supported; inverse sine/cosine require inputs between −1 and 1, and ln requires a positive input.
  • Tangent is undefined at odd multiples of 90° and near those singularities results are numerically sensitive.
  • Inverse trigonometric functions return principal values, not every angle with the same sine, cosine or tangent.

Questions people ask

Why does sine change when I select radians?

The number is reinterpreted in a different unit. Thirty degrees is π/6 radians; entering 30 radians describes a different angle.

What is the difference between floor and truncation?

Floor always moves toward negative infinity: floor(−1.2) is −2. It is not simply removing the fractional digits. Ceiling moves toward positive infinity.

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