Polar to Cartesian Conversion on TI-89

This tutorial explains how to convert polar coordinates to cartesian coordinates using a TI-89 graphing calculator. It covers setting the calculator to the correct modes, entering polar coordinates, and using the rectangle function to obtain cartesian coordinates. The video also demonstrates editing entries and obtaining decimal approximations, as well as converting coordinates in both radian and degree modes.

What is the form of polar coordinates?

• p, q

• r, theta

• x, y

• a, b

Which mode should the calculator be in to convert polar coordinates with theta in radians?

• Approximate mode

• Automatic mode

• Radian mode

• Degree mode

How do you bring up the open square bracket on the TI-89?

• Press 2nd and colon

• Press 2nd and semicolon

• Press 2nd and period

• Press 2nd and comma

Where can you find the angle symbol on the TI-89?

• In the settings

• On the home screen

• In the catalog

• Under the math menu

What function is used to convert polar coordinates to Cartesian coordinates?

• Square function

• Rectangle function

• Triangle function

• Circle function

What is the approximate x-coordinate for the point with r = -4 and theta = 3.6 radians?

• 3.5870

• 4.1234

• 1.7701

• 2.3456

How do you change the calculator to degree mode?

• Press mode, then select approximate

• Press mode, then select degree

• Press mode, then select exact

• Press mode, then select radian

What is the exact Cartesian coordinate for r = 7 and theta = 315 degrees?

• 7, 0

• 0, 7

• 7√2/2, -7√2/2

• 7√3/2, -7√3/2

What is the x-coordinate for the point with r = -2 and theta = 60 degrees?

• -√3

• 1

• -1

• √3

What is the y-coordinate for the point with r = -2 and theta = 60 degrees?

• -1

• √3

• 1

• -√3