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Comprehensive guide to trigonometry and the unit circle. Explore interactive sin/cos/tan geometric definitions, wave function graphs, right & oblique triangle solvers, and exact special angle ratios.
Manipulate angle θ to visually inspect real-time coordinates, sine (height), cosine (base), and tangent (slope).
Adjust amplitude, frequency, phase shift, and vertical offset to observe transformations of sinusoidal waves.
Input two sides and the included angle to instantly solve for all unknown dimensions, angles, area, and perimeter.
• Pythagorean Identity: sin²θ + cos²θ = 1, 1 + tan²θ = sec²θ • Tangent Definition: tan θ = sin θ / cos θ • Law of Cosines: c² = a² + b² - 2ab·cos(C) • Triangle Area: S = ½·a·b·sin(C) • Radian Conversion: rad = deg × (π / 180)
On a unit circle of radius 1, the hypotenuse is 1. Therefore, cos θ = x / 1 = x (base) and sin θ = y / 1 = y (height).
Interactive 118 chemical elements with real-time temperature state simulation, Bohr orbitals, and chemistry quiz.
Interactive multiplication tables from 1x1 to 19x19, custom N-dan generator, dot area model, and mental math quiz.
Live exchange rates and automatic conversion powered by Open ExchangeRate-API.
Instant real-time unit converter for length, area, weight, and temperature.
