1 / 7

3.1 Angles in the Coordinate Plane

3.1 Angles in the Coordinate Plane. terminal side. Positive. . Negative. initial side. . We can measure angles in degrees. 360   once around. Ex 1) Find the degree measure of the angle for each given rotation & draw angle in standard position. a) rotation clockwise. = –240°.

christoffer-carus
Download Presentation

3.1 Angles in the Coordinate Plane

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 3.1 Angles in the Coordinate Plane

  2. terminal side Positive  Negative initial side  We can measure angles in degrees 360  once around

  3. Ex 1) Find the degree measure of the angle for each given rotation & draw angle in standard position. a) rotation clockwise = –240° b) rotation counterclockwise = 660°

  4. Degrees  Minutes  Seconds 60 minutes in 1 degree / 60 seconds in 1 minute 1 = 60 = 3600 * to figure out which ratio, think about what you are canceling – put that on bottom of fraction Ex 2) Express: a) 4040 5 in decimal places b) 50.525 in deg-min-sec

  5. Ex 3) Identify all angles coterminal with –450 & find the coterminal angle whose measure is between 0 & 360 –450 + 360°k (k is an integer) –450 + 360° = –90° –450 + 720° = 270° Horology (having to do with time) Ex 4) The hour hand of the clock makes 1 rotation in 12 hours. Through how many degrees does the hour hand rotate in 18 hours? = 540°

  6. Ex 5) What is the measure in degrees of the smaller of the angles formed by the hands of a clock at 6:12? long hand (minute) at :12 so each minute is = 6° 72° • from 12:00 • 12(6) = 72° short hand (hour) is not right at 6! It is of the way to 7 6° 180° – 72° = 108° • Between hour 6 and hour 7 is • so… 108° + 6° = 114°

  7. Homework #301 Pg 123 #1, 5, 7, 9, 15–31 odd, 32–39, 41, 43, 45, 47

More Related