What is the domain of validity for (cosθ)(cscθ) = cotθ?
A. all real numbers
B. all real numbers except multiples of π/2
C. all real numbers except odd multiples of π/2
D. all real numbers except multiples of π
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You need sinΘ not 0, so Θ not a multiple of π. Answer D.
(D)
as csc and cot are not defined at multiples of pi