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Popular >

y=((1-cos(x))/(1+cos(x)))^3

Solution

y = (\frac{1 - cos ( x )}{1 + cos ( x )})^{3}

Solution

Period : 2 π

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

Range : f (x) \geq 0

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

Asymptotes : Vertical x = 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 ( x )}{1 + cos ( x )})^{3} : 2 π

Domain of

(\frac{1 - cos ( x )}{1 + cos ( x )})^{3} : 2 πn \leq x < π + 2 πn or π + 2 πn < x < 2 π + 2 πn

Range of

(\frac{1 - cos ( x )}{1 + cos ( x )})^{3} : f (x) \geq 0

Axis interception points of

(\frac{1 - cos ( x )}{1 + cos ( x )})^{3} :

X Intercepts

: (2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

(\frac{1 - cos ( x )}{1 + cos ( x )})^{3} :

Vertical

: x = π + 2 πn

Extreme Points of

(\frac{1 - cos ( x )}{1 + cos ( x )})^{3} :

Minimum

(2 πn, 0)

Popular Examples

f(x)=e^{-x}+e^{-2x}

f (x) = e^{- x} + e^{- 2 x}

y = - (x - 4)^{2}

f (x) = 4 \times x

y=(sin(x)+cos(x))/(cos(x))

y = \frac{sin ( x ) + cos ( x )}{cos ( x )}

f(t)=((1-cos(t)))/t

f (t) = \frac{( 1 - cos ( t ) )}{t}

Frequently Asked Questions (FAQ)

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