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Popular >

f(θ)=(14)/(3+5sin(θ))

Solution

f (θ) = \frac{14}{3 + 5 sin ( θ )}

Solution

Period : 2 π

Domain : 2 πn \leq θ < π + 0.64350 \dots + 2 πn or π + 0.64350 \dots + 2 πn < θ < 5.63968 \dots + 2 πn or 5.63968 \dots + 2 πn < θ < 2 π + 2 πn

Range : f (θ) \leq - 7 or f (θ) \geq \frac{7}{4}

Y Intercepts : (0, \frac{14}{3})

Asymptotes : Vertical θ = 5.63968 \dots + 2 πn, θ = π + 0.64350 \dots + 2 πn

Extreme Points : Minimum (\frac{π}{2} + 2 πn, \frac{7}{4}), Maximum (\frac{3 π}{2} + 2 πn, - 7)

+1

Interval Notation

Range : (- \infty, - 7] \cup [\frac{7}{4}, \infty)

Solution steps

Periodicity of

\frac{14}{3 + 5 sin ( θ )} : 2 π

Domain of

\frac{14}{3 + 5 sin ( θ )} : 2 πn \leq θ < π + 0.64350 \dots + 2 πn or π + 0.64350 \dots + 2 πn < θ < 5.63968 \dots + 2 πn or 5.63968 \dots + 2 πn < θ < 2 π + 2 πn

Range of

\frac{14}{3 + 5 sin ( θ )} : f (θ) \leq - 7 or f (θ) \geq \frac{7}{4}

Axis interception points of

\frac{14}{3 + 5 sin ( θ )} :

Y Intercepts

: (0, \frac{14}{3})

Asymptotes of

\frac{14}{3 + 5 sin ( θ )} :

Vertical

: θ = 5.63968 \dots + 2 πn, θ = π + 0.64350 \dots + 2 πn

Extreme Points of

\frac{14}{3 + 5 sin ( θ )} :

Minimum

(\frac{π}{2} + 2 πn, \frac{7}{4}),

Maximum

(\frac{3 π}{2} + 2 πn, - 7)

Graph

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Frequently Asked Questions (FAQ)

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