Pc 4.1 notes

539 views

Published on

Introduction to radians and degrees.

Published in: Education, Business, Technology
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total views
539
On SlideShare
0
From Embeds
0
Number of Embeds
124
Actions
Shares
0
Downloads
4
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

Pc 4.1 notes

  1. 1. 4.1 Radian and DegreeMeasuresEssential Question:What is a "radian" and how do you convert to and fromradians? 1
  2. 2. Warm-up:Classify the following angles:How many degrees in a full circle?Find the circumference of the circle below. 2
  3. 3. 4.1 Radian and Degree MeasureParts of every angle: ­Initial Side (ray) ­Terminal Side (ray) ­Vertex Standard Position: ­Initial side on the _______ ­Vertex on the _______+ angles: ________– angles: ________ 3
  4. 4. Coterminal Angles: Angles that have the same ________ and ________ sides. Naming an angle: 4
  5. 5. Radians Video A radian is the measure of a central angle  that intercepts an arc equal in length to the  radius of the circle.How many radians in 1full circle? 5
  6. 6. The Ratio:Ex. 1) Convert the following to degrees or radians.a) 135° b) 320°c)–5π/3 d) π/6 6
  7. 7. The Quadrants 7
  8. 8. Coterminal Angles RevisitedSince coterminal angles have the same initial and terminal sides, when an angle is in standard position you can adding/subtracting a "revolution" to the angle will give you a new angle in the same position.Ex. 2) Find two angles that are coterminal with 9π/4.  8
  9. 9. Assignment:4.1A p. 290 #3-69(mult. of 3) 9

×