f(x)= 1/(sec(x))

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f(x)=1sec(x)

Solution

Period: 2π

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

Range: −1≤ f(x)≤ 1

Y Intercepts: (0, 1)

Asymptotes: None

Extreme Points: Maximum(2πn, 1), Minimum(π+2πn, −1)

Interval Notation

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

Range: [−1, 1]

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Periodicity of 1sec(x) : 2π

Domain of 1sec(x) : 2πn≤ x<π2 +2πn or π2 +2πn<x<3π2 +2πn or 3π2 +2πn<x<2π+2πn

Range of 1sec(x) : −1≤ f(x)≤ 1

Axis interception points of 1sec(x) : Y Intercepts: (0, 1)

Asymptotes of 1sec(x) : None

Extreme Points of 1sec(x) : Maximum(2πn, 1), Minimum(π+2πn, −1)

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ddx (1sec(x) )

amplitude 1sec(x)

shift 1sec(x)

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

f(x)= 1/(sec(x))

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