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領域 1-sec^2(x)

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

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ddx

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

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domain 1−sec²(x)

Solution

πn≤ x<π2 +πn or π2 +πn<x<π+πn

Interval Notation

[πn, π2 +πn)∪(π2 +πn, π+πn)

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Solution steps

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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 1−sec²(x) and compare to zero: x=π2 +πn

Periodicity of 1−sec²(x): π

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

πn≤ x<π2 +πn or π2 +πn<x<π+πn

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range 1−sec²(x)

periodicity 1−sec²(x)

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

領域 1-sec^2(x)

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