Unit circle

The Unit Circle can be used to model every Trigonometric function.

In mathematics, a unit circle is a circle with a radius of 1. The equation of the unit circle is . The unit circle is centered at the Origin, or coordinates (0,0). It is often used in Trigonometry.

  • trigonometric functions in the unit circle

Trigonometric functions in the unit circle

In a unit circle, where is the angle desired, and can be defined as and . Using the function of the unit circle, , another equation for the unit circle is found, . When working with trigonometric functions, it is mainly useful to use angles with measures between 0 and radians, or 0 through 90 degrees. It is possible to have higher angles than that, however. Using the unit circle, two identities can be found: and for any integer .

The unit circle can substitute variables for trigonometric functions.
Other Languages
العربية: دائرة وحدة
Bân-lâm-gú: Tan-ūi-îⁿ
bosanski: Jedinični krug
Deutsch: Einheitskreis
English: Unit circle
Esperanto: Unuocirklo
français: Cercle unité
한국어: 단위원
Bahasa Indonesia: Lingkaran satuan
Кыргызча: Бирдик айлана
македонски: Единична кружница
монгол: Нэгж тойрог
Nederlands: Eenheidscirkel
日本語: 単位円
norsk nynorsk: Einingssirkel
português: Círculo unitário
slovenščina: Enotska krožnica
српски / srpski: Јединични круг
srpskohrvatski / српскохрватски: Jedinični krug
svenska: Enhetscirkel
Türkçe: Birim çember
українська: Одиничне коло
ייִדיש: איינס קרייז
中文: 单位圆