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Popular >

f(x)=(1-cos(x))/2

Solution

f (x) = \frac{1 - cos ( x )}{2}

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 1

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

Asymptotes : None

Extreme Points : Minimum (2 πn, 0), Maximum (π + 2 πn, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 1]

Solution steps

Periodicity of

\frac{1 - cos ( x )}{2} : 2 π

Domain of

\frac{1 - cos ( x )}{2} : - \infty < x < \infty

Range of

\frac{1 - cos ( x )}{2} : 0 \leq f (x) \leq 1

Axis interception points of

\frac{1 - cos ( x )}{2} :

X Intercepts

: (2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{1 - cos ( x )}{2} :

None

Extreme Points of

\frac{1 - cos ( x )}{2} :

Minimum

(2 πn, 0),

Maximum

(π + 2 πn, 1)

Popular Examples

f (x) = 2 + 2 cos (x)

f (x) = x^{4} - 3

f (x) = x

y = 3 (x - 2)^{2} - 4

y = \frac{1}{3} x + 7

Frequently Asked Questions (FAQ)

What is the f(x)=(1-cos(x))/2 ?
The f(x)=(1-cos(x))/2 is