en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(θ)=3sec(θ)

Solution

f (θ) = 3 sec (θ)

Solution

Period : 2 π

Domain : 2 πn \leq θ < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < θ < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < θ < 2 π + 2 πn

Range : f (θ) \leq - 3 or f (θ) \geq 3

Y Intercepts : (0, 3)

Asymptotes : Vertical θ = \frac{3 π}{2} + 2 πn, θ = \frac{π}{2} + 2 πn

Extreme Points : Minimum (2 πn, 3), Maximum (π + 2 πn, - 3)

+1

Interval Notation

Domain : [2 πn, \frac{π}{2} + 2 πn) \cup (\frac{π}{2} + 2 πn, \frac{3 π}{2} + 2 πn) \cup (\frac{3 π}{2} + 2 πn, 2 π + 2 πn)

Range : (- \infty, - 3] \cup [3, \infty)

Solution steps

Periodicity of

3 sec (θ) : 2 π

Domain of

3 sec (θ) : 2 πn \leq θ < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < θ < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < θ < 2 π + 2 πn

Range of

3 sec (θ) : f (θ) \leq - 3 or f (θ) \geq 3

Axis interception points of

3 sec (θ) :

Y Intercepts

: (0, 3)

Asymptotes of

3 sec (θ) :

Vertical

: θ = \frac{3 π}{2} + 2 πn, θ = \frac{π}{2} + 2 πn

Extreme Points of

3 sec (θ) :

Minimum

(2 πn, 3),

Maximum

(π + 2 πn, - 3)

Popular Examples

integral of ((x^2+3x-1))/(sqrt(x))

\int \frac{( x ^{2} + 3 x - 1 )}{x} d x

slope of (5,6),(3,4)slope

(5, 6), (3, 4)

integral from 0 to 9 of piy

\int_{0}^{9} π y d y

integral of 2x(1+2x)^4

\int 2 x (1 + 2 x)^{4} d x

laplacetransform 1-e^{-2t}laplace transform

1 - e^{- 2 t}

Frequently Asked Questions (FAQ)

What is the f(θ)=3sec(θ) ?
The f(θ)=3sec(θ) is