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Homework Statement
The graphs of f( ) = 2sin() - 1 (blue) , and g() = 3cos() + 2 (red)
are shown below:
http://img403.imageshack.us/img403/6991/38ah7.jpg
http://g.imageshack.us/g.php?h=403&i=38ah7.jpg
What equation would have the intersection points of the graph its solutions?
Homework Equations
http://www.eformulae.com/images/trigonometry_001.gif
The Attempt at a Solution
From using a calculator (set to degrees) I discovered the intersection points of the two graphs. They are:
1: (112.61986, 0.84615385)
and
2: (180, -1)
Therefore, to find an equation that will have these two points in its graph I did the following:
2sin(x) - 1 = 3cos(x) + 2
which eventually came to:
2sin(x) - 3cos(x) = 3
which brought me to:
2sinxcosx - 3cosx=3
cosx (2sins - 3) = 3
so cosx = 3
or sinx=3
Needless to say, it is wrong.
Can somebody tell me a strategy?
Thanks in advance.
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