en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(t)=3cos(5t)

Solution

f (t) = 3 cos (5 t)

Solution

Period : \frac{2 π}{5}

Domain : - \infty < t < \infty

Range : - 3 \leq f (t) \leq 3

X Intercepts : (\frac{π}{10} + \frac{2 πn}{5}, 0), (\frac{3 π}{10} + \frac{2 πn}{5}, 0), Y Intercepts : (0, 3)

Asymptotes : None

Extreme Points : Maximum (\frac{2 π}{5} n, 3), Minimum (\frac{π}{5} + \frac{2 π}{5} n, - 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 3]

Solution steps

Periodicity of

3 cos (5 t) : \frac{2 π}{5}

Domain of

3 cos (5 t) : - \infty < t < \infty

Range of

3 cos (5 t) : - 3 \leq f (t) \leq 3

Axis interception points of

3 cos (5 t) :

X Intercepts

: (\frac{π}{10} + \frac{2 πn}{5}, 0), (\frac{3 π}{10} + \frac{2 πn}{5}, 0),

Y Intercepts

: (0, 3)

Asymptotes of

3 cos (5 t) :

None

Extreme Points of

3 cos (5 t) :

Maximum

(\frac{2 π}{5} n, 3),

Minimum

(\frac{π}{5} + \frac{2 π}{5} n, - 3)

Popular Examples

f (x) = - \frac{3}{5}

f(x)=(sqrt(x+3)-2)/(x-1)

f (x) = \frac{x + 3 - 2}{x - 1}

f(x)=2(5)^{x-4}+4

f (x) = 2 (5)^{x - 4} + 4

f(x)=-1/2 cos(8x)-1/2 sin(8x)

f (x) = - \frac{1}{2} cos (8 x) - \frac{1}{2} sin (8 x)

f(x)=(x^2-7x+12)/(x-3)

f (x) = \frac{x ^{2} - 7 x + 12}{x - 3}

Frequently Asked Questions (FAQ)

What is the f(t)=3cos(5t) ?
The f(t)=3cos(5t) is