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Sabellic
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TI-83 problem...Secant Graphs
What are the properties of:
y= 2 sec(-2x + 90deg) + 3
sec (x) = (1/cos (x))
I have a problem with finding the Domain of y= 2 sec(-2x + 180deg) + 3.
First of all, I have to put the equation in a neater form:
y= 2 [sec -2(x - 90deg)] + 3
Now, if I want to find the domain, I need to find what sec CAN'T equal. That is the vertical asymptotes. Now asymptotes can be found where the graph of the inverse of sec (which is cos) crossed the x-axis.
So therefore I look at the corresponding cos function:
y= 2 [cos -2(x - 90deg)] + 3
But the problem is: this cos function does NOT cross the x-axis. If it does not cross the x-axis then how can any vertical asymptotes appear?
I later typed in "y= 2 (1/cos (-2x + 180deg)) + 3" into the TI-83. But it DID show vertical asymptotes. Does anyone know where these asymptotes came from?
Homework Statement
What are the properties of:
y= 2 sec(-2x + 90deg) + 3
Homework Equations
sec (x) = (1/cos (x))
The Attempt at a Solution
I have a problem with finding the Domain of y= 2 sec(-2x + 180deg) + 3.
First of all, I have to put the equation in a neater form:
y= 2 [sec -2(x - 90deg)] + 3
Now, if I want to find the domain, I need to find what sec CAN'T equal. That is the vertical asymptotes. Now asymptotes can be found where the graph of the inverse of sec (which is cos) crossed the x-axis.
So therefore I look at the corresponding cos function:
y= 2 [cos -2(x - 90deg)] + 3
But the problem is: this cos function does NOT cross the x-axis. If it does not cross the x-axis then how can any vertical asymptotes appear?
I later typed in "y= 2 (1/cos (-2x + 180deg)) + 3" into the TI-83. But it DID show vertical asymptotes. Does anyone know where these asymptotes came from?