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Table of Contents  Quiz Quiz Test on knowledge of using the unit circle  Quiz Quiz Test on knowledge of using the unit circle  Help Help Instruction on how to navigate this module  Help Help Instruction on how to navigate this module  Credits Credits Contributors and links to resources used  Credits Credits Contributors and links to resources used

Begin Lesson  Degrees & Radians Degrees & Radians  Degrees & Radians Degrees & Radians  Trig Functions Trig Functions  Trig Functions Trig Functions  Quadrant I Angles Quadrant I Angles  Quadrant I Angles Quadrant I Angles  Other Angles Other Angles  Other Angles Other Angles  The Unit Circle The Unit Circle  The Unit Circle The Unit Circle  Summary Summary  Summary Summary Main Menu

Degrees/ Radians Main Menu Table of Contents (0,1) (1,0) (0,-1) (-1,0) r = 1 θ

Trig Functions Main Menu Table of Contents 0, 360° 0, 2π 90° π / 2 180° π 270° 3π / 2 45° π / 4 135° 3π / 4 225° 5π / 4 315° 7π / 4

Quadrant I Angles Main Menu Table of Contents Sine Cosine Tangent = sine cosine Cotangent = cosine sine Secant = 1 cosine Cosecant = 1 sine = y = x = yxyx = 1x1x = 1y1y = xyxy x ≠ 0 y ≠ 0

Other Angles Main Menu Table of Contents (1,0) (0,1) 45° 60° 30° (, ) 2 2 (, ) 2 2 (, ) √2 √31 √2 √3

The Unit Circle Main Menu Table of Contents III IIIIV (0,1) (1,0) (0,-1) (-1,0) ( +, + ) ( +, - ) ( -, + ) ( -, - ) (, ) 2 2 (, ) 2 2 (, ) 2 2 -√2 -√3 √2 √3 1

Summary Main Menu Table of Contents ( x, y ) = (cosine, sine) sin (120°) = √3/2 cos (120°) = -1/2 tan (120°) = sin/cos = (√3/2)/(-1/2) = -√3 cot (120°) = cos/sin = (-1/2)/(√3/2) = -1/√3 sec (120°) = 1/cos = 1/(-1/2) = -2 csc (120°) = 1/sin = 1/(√3/2) = 2/√3

Quiz Main Menu Table of Contents

Problem 1 Main Menu

Main Menu a) x = √2 / 2 a) x = √2 / 2 b) x = - √2 / 2 b) x = - √2 / 2 c) x = 1 d) x = 135° Choose and click on your answer below:

Problem 1 Main Menu

Problem 2 Main Menu

Main Menu a) x = 1 / 2 a) x = 1 / 2 b) x = - √3 / 2 b) x = - √3 / 2 c) x = 0 d) x = - 1 / 2 d) x = - 1 / 2 Choose and click on your answer below:

Problem 2 Main Menu

Problem 3 Main Menu

Main Menu a) x = DNE b) x = 1 c) x = 0 d) x = - 1 Choose and click on your answer below:

Problem 3 Main Menu

Problem 4 Main Menu

Main Menu a) x = 11π / 6 a) x = 11π / 6 b) x = DNE c) x = 2 / √3 c) x = 2 / √3 d) x = √3 / 2 d) x = √3 / 2 Choose and click on your answer below:

Problem 4 Main Menu

Problem 5 Main Menu

Main Menu Choose and click on your answer below: a) x = 1 b) x = DNE c) x = 0 d) x = -1

Problem 5 Main Menu

Problem 6 Main Menu

Main Menu Choose and click on your answer below: a) x = 1 / 2 a) x = 1 / 2 b) x = DNE c) x = 2 / √3 c) x = 2 / √3 d) x = 2

Problem 6 Main Menu

Finish Main Menu

Credits Main Menu

Finish Lesson Unit circle image retrieved from: 15/unit-circle7_43215_lg.gif 15/unit-circle7_43215_lg.gif Unit circle information retrieved from: ry/unit-circle.html ry/unit-circle.html review-calculus-intro/precalculus- trigonometry/28-the-unit-circle- 01.htm review-calculus-intro/precalculus- trigonometry/28-the-unit-circle- 01.htm Unit circle Youtube video: patrickJMT Main Menu

Main Menu Clicking this button on any page will send you back to the Main Menu This button will direct you with word cues to click to the next page Clicking hyperlinks will direct you to online information or other pages within the module Lesson pages will allow you to click this button to send you back to the table of contents for the lesson Each symbol like this represents an animation to illustrate information

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