en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

s(t)=2cos(8t)

Solution

s (t) = 2 cos (8 t)

Solution

Period : \frac{π}{4}

Domain : - \infty < t < \infty

Range : - 2 \leq f (t) \leq 2

X Intercepts : (\frac{π}{16} + \frac{πn}{4}, 0), (\frac{3 π}{16} + \frac{πn}{4}, 0), Y Intercepts : (0, 2)

Asymptotes : None

Extreme Points : Maximum (\frac{π}{4} n, 2), Minimum (\frac{π}{8} + \frac{π}{4} n, - 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 2]

Solution steps

Periodicity of

2 cos (8 t) : \frac{π}{4}

Domain of

2 cos (8 t) : - \infty < t < \infty

Range of

2 cos (8 t) : - 2 \leq f (t) \leq 2

Axis interception points of

2 cos (8 t) :

X Intercepts

: (\frac{π}{16} + \frac{πn}{4}, 0), (\frac{3 π}{16} + \frac{πn}{4}, 0),

Y Intercepts

: (0, 2)

Asymptotes of

2 cos (8 t) :

None

Extreme Points of

2 cos (8 t) :

Maximum

(\frac{π}{4} n, 2),

Minimum

(\frac{π}{8} + \frac{π}{4} n, - 2)

Graph

Popular Examples

y=((1+sin^2(x)))/2

y=x^2*sin(x)+2x*cos(x)-2sin(x)

p(x)=3x^2-4x+10

f(x)=(2r^2+8r^2+1)^5

f(x)= 1/(4x^{132)}

Frequently Asked Questions (FAQ)

What is the s(t)=2cos(8t) ?
The s(t)=2cos(8t) is