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Popular >

f(θ)=(10)/(2-5cos(θ))

Solution

f (θ) = \frac{10}{2 - 5 cos ( θ )}

Solution

Period : 2 π

Domain : 2 πn \leq θ < 1.15927 \dots + 2 πn or 1.15927 \dots + 2 πn < θ < 5.12390 \dots + 2 πn or 5.12390 \dots + 2 πn < θ < 2 π + 2 πn

Range : f (θ) \leq - \frac{10}{3} or f (θ) \geq \frac{10}{7}

Y Intercepts : (0, - \frac{10}{3})

Asymptotes : Vertical θ = 1.15927 \dots + 2 πn, θ = 5.12390 \dots + 2 πn

Extreme Points : Maximum (2 πn, - \frac{10}{3}), Minimum (π + 2 πn, \frac{10}{7})

+1

Interval Notation

Domain : [2 πn, 1.15927 \dots + 2 πn) \cup (1.15927 \dots + 2 πn, 5.12390 \dots + 2 πn) \cup (5.12390 \dots + 2 πn, 2 π + 2 πn)

Range : (- \infty, - \frac{10}{3}] \cup [\frac{10}{7}, \infty)

Solution steps

Periodicity of

\frac{10}{2 - 5 cos ( θ )} : 2 π

Domain of

\frac{10}{2 - 5 cos ( θ )} : 2 πn \leq θ < 1.15927 \dots + 2 πn or 1.15927 \dots + 2 πn < θ < 5.12390 \dots + 2 πn or 5.12390 \dots + 2 πn < θ < 2 π + 2 πn

Range of

\frac{10}{2 - 5 cos ( θ )} : f (θ) \leq - \frac{10}{3} or f (θ) \geq \frac{10}{7}

Axis interception points of

\frac{10}{2 - 5 cos ( θ )} :

Y Intercepts

: (0, - \frac{10}{3})

Asymptotes of

\frac{10}{2 - 5 cos ( θ )} :

Vertical

: θ = 1.15927 \dots + 2 πn, θ = 5.12390 \dots + 2 πn

Extreme Points of

\frac{10}{2 - 5 cos ( θ )} :

Maximum

(2 πn, - \frac{10}{3}),

Minimum

(π + 2 πn, \frac{10}{7})

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Frequently Asked Questions (FAQ)

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