SOLUTION: What is the maximum and minimum values of the graphs y = csc x and y = sec x?

Question 1052814: What is the maximum and minimum values of the graphs y = csc x and y = sec x?
Found 2 solutions by Fombitz, Alan3354:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Since secant and cosecant are reciprocals of cosine and sine, use the ranges of cosine and sine to determine.
The range of sine and cosine are [,].
So taking the reciprocal leads to the range of secant and cosecant (remembering that you have to take out the reciprocal of zero since it's undefined).
(,]U[,)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
What is the maximum and minimum values of the graphs y = csc x and y = sec x?
-------
csc = 1/sin
sec = 1/cos
-----
The range of both is -1 to +1
---
Absolute value of the minimum of each = 1.
There is no max. Sec & csc go from negative undefined (-1/0) to positive undefined (1/0)
RELATED QUESTIONS
What is the maximum and minimum value value of y=2sin(x)+2 and what are the corresponding (answered by stanbon)
what is the maximum & minimum values of... (answered by Alan3354,solver91311)
What is the maximum and minimum of function y=cos4x-4cos2x+3 and its pi values (answered by Fombitz)
What are the maximum and minimum values of objective function p=x+4y with given... (answered by Fombitz)
Find the maximum and minimum values of f(x,y)=2y+x for the polygonal convex set... (answered by Fombitz)
Find the maximum and minimum values of each given function and state the corresponding... (answered by ikleyn)
find the maximum and minimum values of f(x,y)=3x+y for the polygonal convex set... (answered by Fombitz)
How do you find the minimum and maximum values of each function over the feasible region (answered by KMST)
Find the maximum and minimum values of each given function and state the corresponding... (answered by ikleyn)