en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(t)=cos(3t)

Solution

f (t) = cos (3 t)

Solution

Period : \frac{2 π}{3}

Domain : - \infty < t < \infty

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

X Intercepts : (\frac{π}{6} + \frac{2 πn}{3}, 0), (\frac{π}{2} + \frac{2 πn}{3}, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (\frac{2 π}{3} n, 1), Minimum (\frac{π}{3} + \frac{2 π}{3} n, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

cos (3 t) : \frac{2 π}{3}

Domain of

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

Range of

cos (3 t) : - 1 \leq f (t) \leq 1

Axis interception points of

cos (3 t) :

X Intercepts

: (\frac{π}{6} + \frac{2 πn}{3}, 0), (\frac{π}{2} + \frac{2 πn}{3}, 0),

Y Intercepts

: (0, 1)

Asymptotes of

cos (3 t) :

None

Extreme Points of

cos (3 t) :

Maximum

(\frac{2 π}{3} n, 1),

Minimum

(\frac{π}{3} + \frac{2 π}{3} n, - 1)

Popular Examples

(\partial}{\partial z}(e^{\frac{xy)/z})

\frac{\partial}{\partial z} (e^{\frac{x y}{z}})

integral of ((xsin(x)+cos(x)))/(x^2)

\int \frac{( x sin ( x ) + cos ( x ) )}{x ^{2}} d x

x*(dy)/(dx)+2y=3x

x \cdot \frac{d y}{d x} + 2 y = 3 x

y^{^{'}} = x + 7 y

integral of (cos(8x))/(1+sin^2(8x))

\int \frac{cos ( 8 x )}{1 + sin ^{2} ( 8 x )} d x

Frequently Asked Questions (FAQ)

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