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Popular Calculus >

f(t)=cos(4t)

Solution

f (t) = cos (4 t)

Solution

Period : \frac{π}{2}

Domain : - \infty < t < \infty

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

X Intercepts : (\frac{π}{8} + \frac{πn}{2}, 0), (\frac{3 π}{8} + \frac{πn}{2}, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (\frac{π}{2} n, 1), Minimum (\frac{π}{4} + \frac{π}{2} n, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

cos (4 t) : \frac{π}{2}

Domain of

cos (4 t) : - \infty < t < \infty

Range of

cos (4 t) : - 1 \leq f (t) \leq 1

Axis interception points of

cos (4 t) :

X Intercepts

: (\frac{π}{8} + \frac{πn}{2}, 0), (\frac{3 π}{8} + \frac{πn}{2}, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos (4 t) :

None

Extreme Points of

cos (4 t) :

Maximum

(\frac{π}{2} n, 1),

Minimum

(\frac{π}{4} + \frac{π}{2} n, - 1)

Graph

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Frequently Asked Questions (FAQ)

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