How to draw polar coordinate function images using geometric sketchpad

Dear readers, do you know how to use Geometry Sketchpad to draw the graph of polar coordinate functions? This tutorial will take you through the process step by step. Whether you are a math enthusiast or a programming beginner, this guide will help you master the skills of drawing polar coordinate function images in Geometry Sketchpad. Read on to discover this fun and useful technique.

1. Build a polar coordinate system. Open the Geometric Sketchpad software, click [Drawing] - [Grid Style], and check the box next to the polar coordinate grid.

2. Enter the function expression. Click the [Draw] menu and select Draw a new function. The following dialog box will pop up. Enter the function in the editing area. If necessary, you can click on the function to call the stock commonly used functions, and click on the value to call the constant. For example, you want to draw the image of y=3cosθ. Enter 3, click the function button, select cos, and call the cosine function. Enter θ again, and after entering the expression, click [OK]. The parentheses of the independent variable are automatically added by the system, so we don't need to pay attention to them.

3. We are drawing in the polar coordinate system, and the independent variable unit is radian, so select [Yes] in the pop-up dialog box.

4. At this time the image has been drawn. Move the function expression closer to the circle. Right-click on the selected image, select Thick Line, and change the color to red.

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