Chapter 3 Trigonometry

Ch 3  Radian Measure and Circular Functions

Ch 3.1  Radian Measure

Showing the Relationship between Degree and Radian, and Converting Angles from Degree 120º to Radian
http://www.youtube.com/watch?v=cLBKOYmHuDM&list=PL86281C72D802CE05&index=22&feature=plpp_video

Angle Measured in Radian, Converting Angles from Degrees to Radians, and from Radians to Degrees
http://www.youtube.com/watch?v=nAJqXtzwpXQ

Converting Angles 135º. –60º, 15º, 48º to Radian
http://www.youtube.com/watch?v=25NuDwXAja0

Converting Angles of 5╥/6, -2╥/9, and 2.1 in Radian to Degree
http://www.youtube.com/watch?v=I-36SsQ9KgQ

Determining Coterminal Angles of  ╥/3 and -4╥/5
http://www.youtube.com/watch?v=tpr8FkiowHk

Determine Six Trig Function Values of  -8╥/3 Using Reference Triangles
http://www.youtube.com/watch?v=t5DEezFe07U

Ch 3.2  Applications of Radian Measure

Arc Length and Area of a Sector :

Finding Arc Length from r=9.5, θ=120º
Finding the Difference of Arc Length of d=12ft and d=11.81ft
Finding Area of a Sector from r=450, θ=240º
http://www.youtube.com/watch?v=zD4CsKIYEHo

Finding Arc Length from r=3cm, θ=120º
Finding the Distance of Earth’s Path Around the Sun in One Month from  r=93 Million Miles
http://www.youtube.com/watch?v=qp0cATM2yys

Finding Area of a Sector and Area Bounded by a Chord and Arc;
Finding Area of a Sector from r=8, θ=110º;
Finding Area of a Sector from r=12, θ=80º
http://www.youtube.com/watch?v=c2avS8NLspU

Ch 3.3  The Unit circle and Circular Functions

A way to remember the Entire Unit Circle for Trigonometry

http://www.youtube.com/watch?feature=player_embedded&v=cIVpemcoAlY

Tricks to remember Trigonometry values in First Quadrant  http://www.youtube.com/watch?feature=player_embedded&v=ao4EJzNWmK8

Tricks to remember Angles in Radians
http://www.youtube.com/watch?v=Q4KbPrK4DlE

Ch 3.4  Linear and Angular Speed

Linear Velocity and Angular Velocity

http://www.youtube.com/watch?v=jh9gRYAuau8

Example: Determine the Number of Revolutions Per Second of a Car Tire
http://www.youtube.com/watch?v=3EBhZA0QZWg

Example: Determine Angular and Linear Velocity of Two Particles Running in Concentric Circles
http://www.youtube.com/watch?v=bfWkgA5GSE0