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Popular >

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

Solution

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

Solution

Period : π

Domain : - \infty < t < \infty

Range : - 1 \leq f (t) \leq 0

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

Asymptotes : None

Extreme Points : Maximum (πn, 0), Minimum (\frac{π}{2} + πn, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 0]

Solution steps

Periodicity of

\frac{cos ( 2 t ) - 1}{2} : π

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(πn, 0),

Minimum

(\frac{π}{2} + πn, - 1)

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Frequently Asked Questions (FAQ)

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