TRIGONOMETRIC EQUATIONS Solving Equations (Page 7 of 11)

To find the intersection point of these two graphs, use the CALC intersect command. This command will ask you three questions. You must select two graphs (there are only two for this example) and then enter a guess. The guess can be any x-value that is close to the x-coordinate of the intersection point. The calculator will be in TRACE mode, so you can either move the cursor close to the intersection point, or enter a value of x directly. The value you enter must be valid for the current window (between Xmin and Xmax).

First, let's find the leftmost intersection point from the first cycle. We will use a guess of 10.

 2nd CALC key. 5: menu selection.
 ENTER key. (Mark the first graph)
 ENTER key. (Mark the second graph)
 10 ENTER key.
Calculator screen image.

The intersection point is approximately (15, 0.707). The x-coordinate of this point, x = 15, is a solution to the equation.

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