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(wt)

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot cos (wt) = cos (wt)

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

Popular Examples

simplify 1.3*10^{-4}simplify

1.3 \cdot 1 0^{- 4}

simplify e^{(-3)}simplify

e^{(- 3)}

expand sqrt((1+4x)/(1-x))expand

\frac{1 + 4 x}{1 - x}

simplify (7-x)e^{-x}simplify

(7 - x) e^{- x}

simplify (sqrt(\sqrt{\sqrt{\sqrt{2)}}})^{48}simplify

2^{48}

Frequently Asked Questions (FAQ)

What is e^{(-at)}cos(wt) ?
The solution to e^{(-at)}cos(wt) is (cos(tw))/(e^{at)}