en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(θ)= 1/(sec(θ)-tan(θ))

Solution

f (θ) = \frac{1}{sec ( θ ) - tan ( 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) < 0 or f (θ) > 0

Y Intercepts : (0, 1)

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

Extreme Points : None

+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, 0) \cup (0, \infty)

Solution steps

Periodicity of

\frac{1}{sec ( θ ) - tan ( θ )} : 2 π

Domain of

\frac{1}{sec ( θ ) - tan ( 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

\frac{1}{sec ( θ ) - tan ( θ )} : f (θ) < 0 or f (θ) > 0

Axis interception points of

\frac{1}{sec ( θ ) - tan ( θ )} :

Y Intercepts

: (0, 1)

Asymptotes of

\frac{1}{sec ( θ ) - tan ( θ )} :

Vertical

: θ = \frac{π}{2} + 2 πn

Extreme Points of

\frac{1}{sec ( θ ) - tan ( θ )} :

None

Popular Examples

f(x)=x+sqrt(1-x)

f (x) = x + 1 - x

f (x) = ln (e^{x} - 1)

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

f (x) = 3 x^{4} - 4 x^{3} + 2

f(x)=sin^4(x)-cos^4(x)+cos^2(x)

f (x) = sin^{4} (x) - cos^{4} (x) + cos^{2} (x)

y = \frac{2}{5} x - 4

Frequently Asked Questions (FAQ)

What is the f(θ)= 1/(sec(θ)-tan(θ)) ?
The f(θ)= 1/(sec(θ)-tan(θ)) is