en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-at}cos(4t)

Solution

simplify

e^{- a t} \cdot cos (4 \cdot t)

Solution

\frac{cos ( 4 t )}{e ^{a t}}

Solution steps

e^{- a t} cos (4 t)

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{a t}} cos (4 t)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot cos ( 4 t )}{e ^{a t}}

Multiply:

1 \cdot cos (4 t) = cos (4 t)

= \frac{cos ( 4 t )}{e ^{a t}}

Popular Examples

simplify e^{-3.5x^2}simplify

e^{- 3.5 x^{2}}

simplify 4x^4y^3(17x^{17}y^7z^3)simplify

4 x^{4} y^{3} (17 x^{17} y^{7} z^{3})

simplify pi(((1.5*10^{-3}))/2)^2*(6*10^{28})(86400)(1*10^{-4})simplify

π (\frac{( 1.5 \cdot 1 0 ^{- 3} )}{2})^{2} \cdot (6 \cdot 1 0^{28}) (86400) (1 \cdot 1 0^{- 4})

simplify (sqrt(2))/(sqrt(3x))simplify

\frac{2}{3 x}

simplify 1/(s^2)*(-s)e^{-st}simplify

\frac{1}{s ^{2}} \cdot (- s) e^{- s t}

Frequently Asked Questions (FAQ)

What is e^{-at}*cos(4*t) ?
The solution to e^{-at}*cos(4*t) is (cos(4t))/(e^{at)}