logging in or signing up Chapter 08 Section 01 Intro to Polar Coordinates rwjewett Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINTLite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 327 Category: Entertainment License: All Rights Reserved Like it (0) Dislike it (0) Added: January 07, 2010 This Presentation is Public Favorites: 0 Presentation Description No description available. Comments Posting comment... Premium member Presentation Transcript Slide 1: Section 8.1 Polar Coordinates Objectives : Objectives Learn to plot points using the polar coordinate system. Convert between polar coordinates and rectangular coordinates Objective 1 : Objective 1 Plotting points using polar coordinates What if r is negative? : What if r is negative? Now you try! : Plot the point Now you try! Representing the same point multiple ways : Representing the same point multiple ways How else can you represent ? Can you do it using a negative r value? Objective 2A : Objective 2A Converting from Polar Coordinates to Rectangular Coordinates Converting Polar to Rectangular : Converting Polar to Rectangular Conversion Example : Conversion Example Find the rectangular coordinates corresponding to: Your turn : Your turn Find the rectangular coordinates corresponding to Objective 2B : Objective 2B Converting from Rectangular Coordinates to Polar Coordinates Converting Rectangular to Polar : Converting Rectangular to Polar Lets convert (2, -2) to its polar equivalent. Consider the two components we need for polar coordinates We need an r And we need an angle But what is r? Its just a radius right? Why not just use Pythagorean Theorem to find it? Converting Rectangular to Polar : Converting Rectangular to Polar So, to find r, we use: Now, what about theta? Converting Rectangular to Polar : Converting Rectangular to Polar Special Cases : Special Cases What happens if x = 0 ? Well, we could use another inverse trig ratio since we will still have y and r. Or…. We could just realize that we must be on the y axis and simply decide which direction to go in (positive or negative). How do we know what quadrant we are in? Remember to look at the (x, y) values! Summary : Summary You do not have the permission to view this presentation. In order to view it, please contact the author of the presentation.
Chapter 08 Section 01 Intro to Polar Coordinates rwjewett Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINTLite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 327 Category: Entertainment License: All Rights Reserved Like it (0) Dislike it (0) Added: January 07, 2010 This Presentation is Public Favorites: 0 Presentation Description No description available. Comments Posting comment... Premium member Presentation Transcript Slide 1: Section 8.1 Polar Coordinates Objectives : Objectives Learn to plot points using the polar coordinate system. Convert between polar coordinates and rectangular coordinates Objective 1 : Objective 1 Plotting points using polar coordinates What if r is negative? : What if r is negative? Now you try! : Plot the point Now you try! Representing the same point multiple ways : Representing the same point multiple ways How else can you represent ? Can you do it using a negative r value? Objective 2A : Objective 2A Converting from Polar Coordinates to Rectangular Coordinates Converting Polar to Rectangular : Converting Polar to Rectangular Conversion Example : Conversion Example Find the rectangular coordinates corresponding to: Your turn : Your turn Find the rectangular coordinates corresponding to Objective 2B : Objective 2B Converting from Rectangular Coordinates to Polar Coordinates Converting Rectangular to Polar : Converting Rectangular to Polar Lets convert (2, -2) to its polar equivalent. Consider the two components we need for polar coordinates We need an r And we need an angle But what is r? Its just a radius right? Why not just use Pythagorean Theorem to find it? Converting Rectangular to Polar : Converting Rectangular to Polar So, to find r, we use: Now, what about theta? Converting Rectangular to Polar : Converting Rectangular to Polar Special Cases : Special Cases What happens if x = 0 ? Well, we could use another inverse trig ratio since we will still have y and r. Or…. We could just realize that we must be on the y axis and simply decide which direction to go in (positive or negative). How do we know what quadrant we are in? Remember to look at the (x, y) values! Summary : Summary