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Popular >

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

Solution

f (x) = \frac{1 - sec ( x )}{tan ( x )}

Solution

Period : 2 π

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

Range : f (x) < - 1 or - 1 < f (x) < 0 or 0 < f (x) < 1 or f (x) > 1

Intercepts : None

Asymptotes : Vertical x = π + 2 πn

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, - 1) \cup (- 1, 0) \cup (0, 1) \cup (1, \infty)

Solution steps

Periodicity of

\frac{1 - sec ( x )}{tan ( x )} : 2 π

Domain of

\frac{1 - sec ( x )}{tan ( x )} : 2 πn < x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < π + 2 πn or π + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Range of

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

Axis interception points of

\frac{1 - sec ( x )}{tan ( x )} :

None

Asymptotes of

\frac{1 - sec ( x )}{tan ( x )} :

Vertical

: x = π + 2 πn

Extreme Points of

\frac{1 - sec ( x )}{tan ( x )} :

None

Popular Examples

derivative of f(x)=7+2/x+5/(x^2)derivative of

f (x) = 7 + \frac{2}{x} + \frac{5}{x ^{2}}

integral of 1/(sqrt((x-9)(3-x)))

\int \frac{1}{( x - 9 ) ( 3 - x )} d x

xy^{''}+2y^'=24x^2

x y^{^{''}} + 2 y^{^{'}} = 24 x^{2}

\int - 5 x d x

derivative of y=(3x^2+2)(4x-1)derivative of

y = (3 x^{2} + 2) (4 x - 1)

Frequently Asked Questions (FAQ)

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