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Popular Functions >

y=sec(x-pi/2)

Solution

y = sec (x - \frac{π}{2})

Solution

Period : 2 π

Domain : 2 πn < x < π + 2 πn or π + 2 πn < x < 2 π + 2 πn

Range : f (x) \leq - 1 or f (x) \geq 1

Intercepts : None

Asymptotes : Vertical x = 2 πn, x = π + 2 πn

Extreme Points : Minimum (\frac{π}{2} + 2 πn, 1), Maximum (\frac{3 π}{2} + 2 πn, - 1)

+1

Interval Notation

Domain : (2 πn, π + 2 πn) \cup (π + 2 πn, 2 π + 2 πn)

Range : (- \infty, - 1] \cup [1, \infty)

Solution steps

Periodicity of

sec (x - \frac{π}{2}) : 2 π

Domain of

sec (x - \frac{π}{2}) : 2 πn < x < π + 2 πn or π + 2 πn < x < 2 π + 2 πn

Range of

sec (x - \frac{π}{2}) : f (x) \leq - 1 or f (x) \geq 1

Axis interception points of

sec (x - \frac{π}{2}) :

None

Asymptotes of

sec (x - \frac{π}{2}) :

Vertical

: x = 2 πn, x = π + 2 πn

Extreme Points of

sec (x - \frac{π}{2}) :

Minimum

(\frac{π}{2} + 2 πn, 1),

Maximum

(\frac{3 π}{2} + 2 πn, - 1)

Graph

Popular Examples

y=(4x^5)/5-(5x^4)/4+4x-1

f(x)=x^5+4x^3-2x^2+10

f(x)=2x+8[-1.3]

f(x)=(x^3+2)/(2x^5-5x^4+7x^3+4x^2-10+11)

Frequently Asked Questions (FAQ)

What is the y=sec(x-pi/2) ?
The y=sec(x-pi/2) is