How to draw the image of secant function using geometric sketchpad

Want to draw the graph of a secant function but don’t know where to start? PHP editor Youzi will provide you with detailed operation methods and guide you step by step to easily complete this task. Through this tutorial, you will master the steps required to plot the graph of a secant function and develop a deep understanding of its mathematical principles. Continue reading below to explore the power of Geometry Sketchpad and make graphing secant functions no longer a problem!

First understand the definition of secant function:

Suppose △ABC, ∠C=90°, AC=b, BC=a, AB=c,

positive Cut function: sec∠A=c/b (hypotenuse/adjacent side), y=secx.

In y=secx, take any value of x that makes secx meaningful and its corresponding y value as (x, y). The graph made in the rectangular coordinate system is called the image of the secant function, also called the secant curve.

The specific operations for drawing the secant function are as follows:

Open the geometric sketchpad, click the [Drawing] menu above, and select [Define Coordinate System] from the drop-down menu to establish the coordinate system. as the picture shows.

Since the secant function is also a trigonometric function, you need to change the coordinate unit to the trigonometric coordinate scale. Under the [Drawing] menu, select [Show Grid] - [Trigonometric Coordinate Axis] 】, thus changing the coordinates to the trigonometric coordinate system.

Click the [Draw] menu above, select [Draw New Function] in the drop-down menu, and enter [1], [÷], [cos], [x] in the pop-up function dialog box ], click [OK] after completing the input,

After inputting the function expression, the function f(x)=1/cos(x) appears in the upper left corner of the drawing board, and at the same time The graph of the secant function has also been drawn.

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