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(a) Express the function (x) = csc(tan-(x 2)) without using any trig functions. The result should involve only rational functions and square roots. [Hint:

 


(a) Express the function (x) = csc(tan-(x 2)) without using any trig functions. The result should involve only rational functions and square roots. [Hint: You will want to draw a right triangle with one angle equal to tan-(x - 2), and edge lengths written in terms of x.] (b) What is the domain of the function f(x), as expressed in your solution to part (a) above? Is this different than the domain of csc(tan-(x-2))?

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