How to Calculate Sin
What is Sin?
The sine function (sin) is a fundamental trigonometric function defined as the ratio of the opposite side to the hypotenuse in a right triangle. It also describes the y-coordinate of a point on the unit circle at a given angle.
Formula
- In
- opposite / hypotenuse — opposite / hypotenuse
Step-by-Step Guide
- 1In a right triangle: sin(θ) = opposite / hypotenuse
- 2On the unit circle: sin(θ) = y-coordinate at angle θ
- 3sin(θ°) = sin(θ × π/180) in radians
- 4Key values: sin(0°)=0, sin(30°)=0.5, sin(45°)=√2/2≈0.707, sin(60°)=√3/2≈0.866, sin(90°)=1
Worked Examples
Frequently Asked Questions
What is Sin Calc?
The sine function (sin) is a fundamental trigonometric function defined as the ratio of the opposite side to the hypotenuse in a right triangle. It also describes the y-coordinate of a point on the unit circle at a given angle
How accurate is the Sin Calc calculator?
The calculator uses the standard published formula for sin calc. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.
What units does the Sin Calc calculator use?
This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.
What formula does the Sin Calc calculator use?
The core formula is: In a right triangle: sin(θ) = opposite / hypotenuse. Each step in the calculation is shown so you can verify the result manually.
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