ch 9 polar coordinates and complex numbers

15
Ch 9 Polar Coordinates and Complex numbers Lesson 9.1 Graphing polar points Graphing simple polar equations Finding the distance between 2 polar points.

Upload: chenoa

Post on 24-Feb-2016

62 views

Category:

Documents


0 download

DESCRIPTION

Ch 9 Polar Coordinates and Complex numbers. Lesson 9.1 Graphing polar points Graphing simple polar equations Finding the distance between 2 polar points. Points in a Polar Grid are given by ( r , q ) - the values of r and q can be positive or negative. - PowerPoint PPT Presentation

TRANSCRIPT

Page 1: Ch 9  Polar Coordinates and Complex numbers

Ch 9 Polar Coordinates and Complex numbers

Lesson 9.1 Graphing polar points Graphing simple polar equations

Finding the distance between 2 polar points.

Page 2: Ch 9  Polar Coordinates and Complex numbers
Page 3: Ch 9  Polar Coordinates and Complex numbers

• Points in a Polar Grid are given by (r, q) - the values of r and q can be positive or negative.

• Each point can be given by several different ordered pairs.

• The polar equation r = k is a circle.• The polar equation q = k is a line.

Page 4: Ch 9  Polar Coordinates and Complex numbers
Page 5: Ch 9  Polar Coordinates and Complex numbers

Start by finding the angle or “argument”. Then count r from the “pole” out. Move forward toward the angle if r is positive. Move backward away from the angle if r is negative.

Page 6: Ch 9  Polar Coordinates and Complex numbers
Page 7: Ch 9  Polar Coordinates and Complex numbers
Page 8: Ch 9  Polar Coordinates and Complex numbers

Lesson Overview 9-1A

Page 9: Ch 9  Polar Coordinates and Complex numbers

If the polar equation is r = n, the graph will be a circle with the radius of n

Try graphing this in your calculator now! Set your mode from function to polar.Press y= and you now see r=. Type in 3 then zoom standard, zoom square.

Page 10: Ch 9  Polar Coordinates and Complex numbers
Page 11: Ch 9  Polar Coordinates and Complex numbers

Lesson Overview 9-1B

Page 12: Ch 9  Polar Coordinates and Complex numbers

Find the distance between points (3,70°) and (5, 120°)

Page 13: Ch 9  Polar Coordinates and Complex numbers

Now lets try the following problems.

• Copy the questions on your notebook paper.• Use the polar paper given you.• Write your answers.• Check for correctness.

Page 14: Ch 9  Polar Coordinates and Complex numbers

5-Minute Check Lesson 9-2A

Page 15: Ch 9  Polar Coordinates and Complex numbers

5-Minute Check Lesson 9-2B