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Popular >

f(x)=sec(x)tan(x)

Solution

f (x) = sec (x) tan (x)

Solution

Period : 2 π

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

Range : - \infty < f (x) < \infty

X Intercepts : (2 πn, 0), (π + 2 πn, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = \frac{3 π}{2} + 2 πn, x = \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, \infty)

Solution steps

Periodicity of

sec (x) tan (x) : 2 π

Domain of

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

Range of

sec (x) tan (x) : - \infty < f (x) < \infty

Axis interception points of

sec (x) tan (x) :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sec (x) tan (x) :

Vertical

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

Extreme Points of

sec (x) tan (x) :

None

Popular Examples

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x^{2} - 2 x, 2 x - 3

integral from 0 to 1 of (93)/(x^5)

\int_{0}^{1} \frac{93}{x ^{5}} d x

integral of (x^{1.3}+9x^{3.5})

\int (x^{1.3} + 9 x^{3.5}) d x

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\int \frac{5}{( x - 3 ) ( x + 2 )} d x

derivative of (4x/(1-cot(x)))

\frac{d}{d x} (\frac{4 x}{1 - cot ( x )})

Frequently Asked Questions (FAQ)

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