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Popular >

f(θ)=(1-cos(θ))/(1+cos(θ))

Solution

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

Solution

Period : 2 π

Domain : 2 πn \leq θ < π + 2 πn or π + 2 πn < θ < 2 π + 2 πn

Range : f (θ) \geq 0

X Intercepts : (2 πn, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical θ = π + 2 πn

Extreme Points : Minimum (2 πn, 0)

+1

Interval Notation

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

Range : [0, \infty)

Solution steps

Periodicity of

\frac{1 - cos ( θ )}{1 + cos ( θ )} : 2 π

Domain of

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

Range of

\frac{1 - cos ( θ )}{1 + cos ( θ )} : f (θ) \geq 0

Axis interception points of

\frac{1 - cos ( θ )}{1 + cos ( θ )} :

X Intercepts

: (2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{1 - cos ( θ )}{1 + cos ( θ )} :

Vertical

: θ = π + 2 πn

Extreme Points of

\frac{1 - cos ( θ )}{1 + cos ( θ )} :

Minimum

(2 πn, 0)

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Frequently Asked Questions (FAQ)

What is the f(θ)=(1-cos(θ))/(1+cos(θ)) ?
The f(θ)=(1-cos(θ))/(1+cos(θ)) is