Trigonometry

In this problem, you will describe in detail how we arrive at the accepted definition of the function y= Arccsc(x)

a) Sketch the cosecant function over the interval (-2pi, 2pi)

i can do that

b) This function is not one to one - please explain in detail the meaning of this

???

c) how would you restrict the domain of the cosecant function so that it becomes a one to one function?

???

d) By restricting the function as described in part c) what is the domain and range of this resulting function. Use interval notation.

e) From part d) what is the domain and range of the inverse function
y = arccsc(x).

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  1. After you graph it you will find that more than one angle has the same csc. For example csc 30 deg = 2 and csc 150 deg is also 2
    if you restrict the domain to one quadrant you are all set.

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