Thursday, February 9, 2012

First 3 lessons

Hey fellow classmates, this is Paulene :) Since no one made a blog yet since the Semester 2 started, I will try to summarize (or at least post all the formulas that we've used so far) our first 3 lessons in Unit 1: Circular Functions which are the following:

a) Degree and Radian Measure 1
b) Degree and Radian Measure 2
c) The Unit Circle
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An angle has three parts: an initial ray & a terminal ray.

I assume that you are already familiar with the degree measure of an angle. *It is common practice to use (the Greek lowercase theta - ) to represent both an angle and its measure.*

An angle is positive if it is generated by rotating the terminal side counterclockwise from the initial side. An angle is negative if it is ge

nerated by rotating the terminal side clockwise from the initial side.

Angles that have the same initial and terminal sides are called Coterminal angles. To find a positive Coterminal angle you just have to add 360° & to find a negative Coterminal angle, subtract 360°.

Eg: One positive coterminal angles of 120° is 120° + 360° = 480°
One negative coterminal angles of 120° is 120° – 360° = -240°

How to convert Degrees to Radians: Multiply by π/180
Eg: 90° (π/180) = π/2

How to convert Radians to Degrees: Multiply by 180/π
Eg: π/3 (180/π) = 60°





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