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Popular >

f(θ)=(cos(θ))/(1+sin(θ))

Solution

f (θ) = \frac{cos ( θ )}{1 + sin ( θ )}

Solution

Period : 2 π

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

X Intercepts : (\frac{π}{2} + 2 πn, 0), Y Intercepts : (0, 1)

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

Inflection Points : (\frac{π}{2} + 2 πn, 0)

+1

Interval Notation

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

Solution steps

Periodicity of

\frac{cos ( θ )}{1 + sin ( θ )} : 2 π

Domain of

\frac{cos ( θ )}{1 + sin ( θ )} : 2 πn \leq θ < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < θ < 2 π + 2 πn

Axis interception points of

\frac{cos ( θ )}{1 + sin ( θ )} :

X Intercepts

: (\frac{π}{2} + 2 πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

\frac{cos ( θ )}{1 + sin ( θ )} :

Vertical

: θ = \frac{3 π}{2} + 2 πn

Inflection Points of

\frac{cos ( θ )}{1 + sin ( θ )} : (\frac{π}{2} + 2 πn, 0)

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Frequently Asked Questions (FAQ)

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