Sin Calculator
Calculate the sine of any angle in degrees or radians with step-by-step working.
About Sin Calculator
The sine function returns the ratio of the opposite side to the hypotenuse in a right triangle. For any angle θ, sin(θ) ranges from −1 to 1. This calculator accepts both degrees and radians.
Formula
Sine definition
sin θ = opposite / hypotenuse
- θ
- The angle
- opposite
- Side opposite to θ
- hypotenuse
- Longest side
Worked example
With the default values below, Sin Calculator returns sin(θ) of 0.5000000000. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Angle (θ)
- 30
- Angle unitone of Degrees, Radians
- Degrees
Results
- sin(θ)
- 0.5000000000
- Angle (degrees)
- 30.000000 °
- Angle (radians)
- 0.52359878
Step by step
- 1Convert to radians
- 2Apply sin function= 0.5
Assumptions and limits
- The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 10 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
What is sin(30°)?
sin(30°) = 0.5. This is one of the standard angles: sin(0°)=0, sin(30°)=0.5, sin(45°)≈0.7071, sin(60°)≈0.8660, sin(90°)=1.
What is the range of sine?
The sine function always returns a value between −1 and 1 inclusive, for any real angle input.