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Popular >

R(θ)=20(sec(θ)-tan(θ))

Solution

R (θ) = 20 (sec (θ) - tan (θ))

Solution

Period : 2 π

Domain : 2 πn \leq θ < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < θ < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < θ < 2 π + 2 πn

Range : f (θ) < 0 or f (θ) > 0

Y Intercepts : (0, 20)

Asymptotes : Vertical θ = \frac{3 π}{2} + 2 πn

Extreme Points : None

+1

Interval Notation

Domain : [2 πn, \frac{π}{2} + 2 πn) \cup (\frac{π}{2} + 2 πn, \frac{3 π}{2} + 2 πn) \cup (\frac{3 π}{2} + 2 πn, 2 π + 2 πn)

Range : (- \infty, 0) \cup (0, \infty)

Solution steps

Periodicity of

20 (sec (θ) - tan (θ)) : 2 π

Domain of

20 (sec (θ) - tan (θ)) : 2 πn \leq θ < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < θ < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < θ < 2 π + 2 πn

Range of

20 (sec (θ) - tan (θ)) : f (θ) < 0 or f (θ) > 0

Axis interception points of

20 (sec (θ) - tan (θ)) :

Y Intercepts

: (0, 20)

Asymptotes of

20 (sec (θ) - tan (θ)) :

Vertical

: θ = \frac{3 π}{2} + 2 πn

Extreme Points of

20 (sec (θ) - tan (θ)) :

None

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Frequently Asked Questions (FAQ)

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