Tag Archives: MTH 201

Unit Circle

Unit Circle

From Wikipedia, the free encyclopedia

Illustration of a unit circle. The variable t is an angle measure.

In mathematics, a unit circle is a circle with a radius of one. Frequently, especially in trigonometry, “the” unit circle is the circle of radius one centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane. The unit circle is often denoted S1; the generalization to higher dimensions is the unit sphere.

If (xy) is a point on the unit circle in the first quadrant, then x and y are the lengths of the legs of a right triangle whose hypotenuse has length 1. Thus, by the Pythagorean theoremx and y satisfy the equation

x2y2 = 1.

Since x2 = (−x)2 for all x, and since the reflection of any point on the unit circle about the x- or y-axis is also on the unit circle, the above equation holds for all points (xy) on the unit circle, not just those in the first quadrant.

One may also use other notions of “distance” to define other “unit circles”, such as the Riemannian circle; see the article on mathematical norms for additional examples.

Timetable for: 2010/01/04 to 2010/04/25

Timetable for: 2010/01/04 to 2010/04/25
Name: Date of Printing: 2009/12/31 00:00:01
Semester and Year: Winter 2010 Faculty/Location: STJN
Program and Semester: MECHANICAL TECHNIQUES 2 School: CENTRE FOR ADVANCED TECHNOLOGIES
Monday Tuesday Wednesday Thursday Friday
8:00 - SHP201B
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JW108A
SHP201B
*******
JW108A
SHP201B
*******
JW108A
-
8:55 - SHP201B
*******
JW108A
SHP201B
*******
JW108A
SHP201B
*******
JW108A
-
9:50 - SHP201B
*******
JW108A
SHP201B
*******
JW108A
SHP201B
*******
JW108A
-
10:45 - SHP201B
*******
JW108A
SHP201B
*******
JW108A
SHP201B
*******
JW108A
-
11:40 - SHP201B
*******
JW108A
THY201AB
*******
JW205
CUL255AB
*******
JW205
-
12:35 CUL255AB
*******
JW205
TLD201AB
*******
JW205
THY201AB
*******
JW205
THY201AB
*******
JW205
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13:30 CUL255AB
*******
JW205
TLD201AB
*******
JW205
- - -
14:25 CAM201B
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JW203
- - - -
15:20 CAM201B
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JW203
- - - -
16:15 - - - - -
17:10 - - - - -
18:05 - - - - -
23 HOURS per week