Sine Calculator

Calculate sine values in degrees and radians with unit circle visualization and trigonometric identities

✓ Degrees & Radians ✓ Unit circle ✓ Wave visualization

Calculate Sine

°

Unit Circle

Angle:
Sin: 0

Special Values

sin(0°) 0
sin(30°) 1/2
sin(45°) √2/2
sin(60°) √3/2
sin(90°) 1

Sine Identities

sin²(x) + cos²(x) = 1
sin(-x) = -sin(x)
sin(x + 2Ï€) = sin(x)
sin(Ï€ - x) = sin(x)
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Understanding Sine

The sine function is one of the fundamental trigonometric functions. In a right triangle, sine is defined as the ratio of the opposite side to the hypotenuse.

Definition

sin(θ) = opposite / hypotenuse

Unit Circle Definition

On the unit circle, sine represents the y-coordinate of the point where the angle intersects the circle.

Applications

Physics

Wave motion, oscillations, and periodic phenomena in physics and engineering.

Engineering

Signal processing, electrical circuits, and mechanical vibrations.

Navigation

GPS systems, astronomy, and surveying applications.

Computer Graphics

Animation, rotation transformations, and wave effects.