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range of csc(x)

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

☐²

x^☐

√☐

^□√☐

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log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

implicit derivative chain product quotient sum/diff

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range csc(x)

Solution

f(x)≤ −1 or f(x)≥ 1

Interval Notation

(−∞ , −1]∪ [1, ∞ )

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Function range definition

The set of values of the dependent variable for which a function is defined

The range of the basic csc function is csc(x)≤ −1 or csc(x)≥ 1

csc(x)≤ −1 or csc(x)≥ 1

Therefore the range is

f(x)≤ −1 or f(x)≥ 1

Solve instead

domain csc(x)

periodicity csc(x)

amplitude csc(x)

Derivative Chain Rule Examples

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

range of csc(x)

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