Sin Calculator
Calculate the sine of any angle in degrees or radians with step-by-step working.
Inputs
sin(θ)
0.5000000000
Angle (degrees)
30.000000°
Angle (radians)
0.52359878
Step by step
Convert to radians
30 degrees = 0.52359878 rad
Apply sin function
sin(0.52359878)
= 0.5
How it works
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
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.