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domain of csc(x)

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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domain csc(x)

Solution

2πn<x<π+2πn or π+2πn<x<2π+2πn

Interval Notation

(2πn, π+2πn)∪(π+2πn, 2π+2πn)

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Domain definition

The domain of a function is the set of input or argument values for which the function is real and defined

Take the denominator(s) of csc(x) and compare to zero: x=2πn, x=π+2πn

Periodicity of csc(x): 2π

Combine period: 2πn≤ x<2π+2πn and undefined points.
The domain is

2πn<x<π+2πn or π+2πn<x<2π+2πn

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

domain of csc(x)

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