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Popular >

f(x)=sin(x)+1/2 cot(x)

Solution

f (x) = sin (x) + \frac{1}{2} cot (x)

Solution

Period : 2 π

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

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

X Intercepts : (arccos (- \frac{- 1 + 17}{4}) + 2 πn, 0), (- arccos (- \frac{- 1 + 17}{4}) + 2 π + 2 πn, 0)

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

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Periodicity of

sin (x) + \frac{1}{2} cot (x) : 2 π

Domain of

sin (x) + \frac{1}{2} cot (x) : 2 πn < x < π + 2 πn or π + 2 πn < x < 2 π + 2 πn

Range of

sin (x) + \frac{1}{2} cot (x) : - \infty < f (x) < \infty

Axis interception points of

sin (x) + \frac{1}{2} cot (x) :

X Intercepts

: (arccos (- \frac{- 1 + 17}{4}) + 2 πn, 0), (- arccos (- \frac{- 1 + 17}{4}) + 2 π + 2 πn, 0)

Asymptotes of

sin (x) + \frac{1}{2} cot (x) :

Vertical

: x = 2 πn, x = π + 2 πn

Extreme Points of

sin (x) + \frac{1}{2} cot (x) :

None

Graph

Popular Examples

sum from n=0 to infinity of n/(2n+4)

n = 0 \sum \infty \frac{n}{2 n + 4}

integral of-(sin(x)tan(x))/1

\int - \frac{sin ( x ) tan ( x )}{1} d x

(dy)/(dt)-(4t)/((1+4t^2))y=4t

\frac{d y}{d t} - \frac{4 t}{( 1 + 4 t ^{2} )} y = 4 t

y^{^{'}} = x^{2} sec (y)

integral from 0 to 1 of xe^{-3x^2}

\int_{0}^{1} x e^{- 3 x^{2}} d x

Frequently Asked Questions (FAQ)

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