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MEMBERS: 
A unit circle is a circle whose center is at the point of origin and have a radius of 1 unit. 
Given by the equation π‘₯^2 + 𝑦^2 = 1.
Also, the measure of the length of arc is equal to the measure of the central angle. That is, 𝑠 = πœƒ..
and 
Reference Angle 
COORDINATES OF A POINT ON THE
UNIT CIRCLE

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Pre Calculus

Francis Bustrillo

Created on October 2, 2021

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Transcript

MEMBERS:

A unit circle is a circle whose center is at the point of origin and have a radius of 1 unit. Given by the equation π‘₯^2 + 𝑦^2 = 1. Also, the measure of the length of arc is equal to the measure of the central angle. That is, 𝑠 = πœƒ..

and

Reference Angle

COORDINATES OF A POINT ON THE UNIT CIRCLE

Quadrant 4

Quadrant 3

Quadrant 2

Quadrant 1

Reference Angle

COORDINATES OF A POINT ON THE UNIT CIRCLE

The reference angle is always positive. In other words, the reference angle is an angle being sandwiched by the terminal side and the x-axis. It must be less than 90 degree, and always positive.

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Reference Angle