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Sine Calculator

Sine Calculator

Result
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This calculator finds the sine of your angle, e.g. sin(30°) = 0.5, and plots the sine wave with your angle marked.

Sine is one of the three foundational trigonometric ratios, defined in a right triangle as the length of the opposite side divided by the hypotenuse, and it oscillates smoothly between −1 and 1 as an angle sweeps around a full circle. Enter an angle in degrees or radians, and this calculator finds its sine value instantly, along with where that angle sits on the sine wave. It's a building block for countless calculations in geometry, physics, and engineering, anywhere periodic motion or angles need to be described mathematically.

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  • Sine is one of the three basic trigonometric ratios, defined in a right triangle as the opposite side divided by the hypotenuse — sin(θ) = opposite / hypotenuse.
  • The sine function always produces a value between −1 and 1, oscillating smoothly as the angle increases, completing one full cycle every 360° (2π radians).
  • Sine is zero at 0°, 180°, and 360°, and reaches its maximum of 1 at 90° and minimum of −1 at 270°.

How do I calculate the sine of an angle?

Convert the angle to radians if needed (radians = degrees × π/180), then apply the sine function, which is built into every scientific calculator and programming language.

What is sin(30°)?

0.5 — one of the most commonly memorized exact trigonometric values.