Activities 744
Exploring cos(x) = sin(x)
Exploring cos(x) = sin(x)Exploring cos(x) = sin(x)
Exploring cos(x) = sin(x)
This activity uses two methods to find where cos(x) = sin(x) for the values of x between 0
and 3p.
Method 1: Graph Plot
Method 1: Graph PlotMethod 1: Graph Plot
Method 1: Graph Plot
Perform the following steps to observe where the graphs of the functions
y1(x)=cos(x)
and
y2(x)=sin(x) intersect.
4. Solve for the value of
x that will cause the
inverse of the matrix to be invalid.
Enter:
solve(getDenom( 2 ± [1,4] )=0,x)
Result:
x= L70/17
Note:
Use the cursor in the history area to
scroll the result.
1. In the
Y= Editor, set y1(x)=cos(x) and
y2(x)=sin(x).
2. In the
Window Editor, set xmin=0 and
xmax=3p.
3. Press „ and select
A:ZoomFit.
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