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Popular >

f(θ)= 1/(6-3sin(θ))

Solution

f (θ) = \frac{1}{6 - 3 sin ( θ )}

Solution

Period : 2 π

Domain : - \infty < θ < \infty

Range : \frac{1}{9} \leq f (θ) \leq \frac{1}{3}

Y Intercepts : (0, \frac{1}{6})

Asymptotes : None

Extreme Points : Maximum (\frac{π}{2} + 2 πn, \frac{1}{3}), Minimum (\frac{3 π}{2} + 2 πn, \frac{1}{9})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{1}{9}, \frac{1}{3}]

Solution steps

Periodicity of

\frac{1}{6 - 3 sin ( θ )} : 2 π

Domain of

\frac{1}{6 - 3 sin ( θ )} : - \infty < θ < \infty

Range of

\frac{1}{6 - 3 sin ( θ )} : \frac{1}{9} \leq f (θ) \leq \frac{1}{3}

Axis interception points of

\frac{1}{6 - 3 sin ( θ )} :

Y Intercepts

: (0, \frac{1}{6})

Asymptotes of

\frac{1}{6 - 3 sin ( θ )} :

None

Extreme Points of

\frac{1}{6 - 3 sin ( θ )} :

Maximum

(\frac{π}{2} + 2 πn, \frac{1}{3}),

Minimum

(\frac{3 π}{2} + 2 πn, \frac{1}{9})

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Frequently Asked Questions (FAQ)

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