領域 2sec(x)

Topic

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

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

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

simplify solve for inverse tangent line

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domain 2sec(x)

Solution

2πn≤ x<π2 +2πn or π2 +2πn<x<3π2 +2πn or 3π2 +2πn<x<2π+2πn

Interval Notation

[2πn, π2 +2πn)∪(π2 +2πn, 3π2 +2πn)∪(3π2 +2πn, 2π+2πn)

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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 2sec(x) and compare to zero: x=π2 +2πn, x=3π2 +2πn

Periodicity of 2sec(x): 2π

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

2πn≤ x<π2 +2πn or π2 +2πn<x<3π2 +2πn or 3π2 +2πn<x<2π+2πn

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range 2sec(x)

periodicity 2sec(x)

amplitude 2sec(x)

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

領域 2sec(x)

Solution

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