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Popular >

f(x)=(sin(x))/(2+cos(x))

Solution

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

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - \frac{1}{3} \leq f (x) \leq \frac{1}{3}

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

Asymptotes : None

Extreme Points : Maximum (\frac{2 π}{3} + 2 πn, \frac{1}{3}), Minimum (\frac{4 π}{3} + 2 πn, - \frac{1}{3})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{3}, \frac{1}{3}]

Solution steps

Periodicity of

\frac{sin ( x )}{2 + cos ( x )} : 2 π

Domain of

\frac{sin ( x )}{2 + cos ( x )} : - \infty < x < \infty

Range of

\frac{sin ( x )}{2 + cos ( x )} : - \frac{1}{3} \leq f (x) \leq \frac{1}{3}

Axis interception points of

\frac{sin ( x )}{2 + cos ( x )} :

X Intercepts

: (2 πn, 0), (π + 2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{sin ( x )}{2 + cos ( x )} :

None

Extreme Points of

\frac{sin ( x )}{2 + cos ( x )} :

Maximum

(\frac{2 π}{3} + 2 πn, \frac{1}{3}),

Minimum

(\frac{4 π}{3} + 2 πn, - \frac{1}{3})

Popular Examples

limit as x approaches 0 of sqrt(x^2+1)

x \to 0 lim (x^{2} + 1)

\frac{d y}{d x} = x + 4

derivative of 30e^xsqrt(x)derivative of

30 e^{x} x

integral from 0 to 1 of (u+2)(u-3)

\int_{0}^{1} (u + 2) (u - 3) d u

integral of (x^2ln^3(1+x^3))/(1+x^3)

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

Frequently Asked Questions (FAQ)

What is the f(x)=(sin(x))/(2+cos(x)) ?
The f(x)=(sin(x))/(2+cos(x)) is