en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-st}sin(2t)

Solution

simplify

e^{- s t} sin (2 t)

Solution

\frac{sin ( 2 t )}{e ^{s t}}

Solution steps

e^{- s t} sin (2 t)

Apply exponent rule:

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

= \frac{1}{e ^{s t}} sin (2 t)

Multiply fractions:

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

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

Multiply:

1 \cdot sin (2 t) = sin (2 t)

= \frac{sin ( 2 t )}{e ^{s t}}

Popular Examples

simplify (sqrt(4+x^2))^3 simplify

(4 + x^{2})^{3}

simplify 2(\sqrt[3]{15/2})^2 simplify

simplify (sqrt(15))^5 simplify

(15)^{5}

simplify (sqrt(y))^5 simplify

(y)^{5}

simplify a^{2/3}b^{2/3}simplify

a^{\frac{2}{3}} b^{\frac{2}{3}}

Frequently Asked Questions (FAQ)

What is e^{-st}sin(2t) ?
The solution to e^{-st}sin(2t) is (sin(2t))/(e^{st)}