Asked by Anny
What are the graphs of y = cos x and y = sec x in the interval from -2pi to 2pi?
Answers
Answered by
Ms. Sue
Please do not use my name as a school subject.
Answered by
Reiny
You should be familiar with the cosine curve
The cosine curve runs from -1 to +1.
cos(0) = 1
cos(60°) = 1/2
cos(90) = 0
cos(120) = -1/2
etc
since secx = 1/cosx
at any given x , the secant is the reciprocal of the cosine value
e.g. cos(60) = 1/2, thus sec(60) = 2
which means that when the cosine value is zero, (as it crosses the x-axis) , we would have the reciprocal of zero , which of course is undefined
So we have vertical asymptotes whenever the cosine value is 0.
The result is a series of U shaped curves sitting on top or falling below the cosine curve as you can seen in the graph I gave you
The cosine curve runs from -1 to +1.
cos(0) = 1
cos(60°) = 1/2
cos(90) = 0
cos(120) = -1/2
etc
since secx = 1/cosx
at any given x , the secant is the reciprocal of the cosine value
e.g. cos(60) = 1/2, thus sec(60) = 2
which means that when the cosine value is zero, (as it crosses the x-axis) , we would have the reciprocal of zero , which of course is undefined
So we have vertical asymptotes whenever the cosine value is 0.
The result is a series of U shaped curves sitting on top or falling below the cosine curve as you can seen in the graph I gave you
Answered by
stewie
yes. that is right. and good morning mrs. sue
Answered by
scoop dog
omg its stewie omg where's Louis
Answered by
Lankstr
my mind has been shattered by these revelations
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