en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-st}cos(at)

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

Popular Examples

simplify ((K/L)^{1/2})/((L/K)^{1/2)}simplify

\frac{( \frac{K}{L} ) ^{\frac{1}{2}}}{( \frac{L}{K} ) ^{\frac{1}{2}}}

f (x) = 5 x^{2}

simplify 2.8*10^{-7}simplify

2.8 \cdot 1 0^{- 7}

simplify (e^{-x})*(4sin(3t))simplify

(e^{- x}) \cdot (4 sin (3 t))

simplify \sqrt[3]{v^2}simplify

Frequently Asked Questions (FAQ)

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