en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-t}sin(wt+v)

Solution

simplify

e^{- t} sin (wt + v)

Solution

\frac{sin ( tw + v )}{e ^{t}}

Solution steps

e^{- t} sin (wt + v)

Apply exponent rule:

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

= \frac{1}{e ^{t}} sin (tw + v)

Multiply fractions:

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

= \frac{1 \cdot sin ( wt + v )}{e ^{t}}

Multiply:

1 \cdot sin (wt + v) = sin (wt + v)

= \frac{sin ( tw + v )}{e ^{t}}

Popular Examples

simplify 266.6e^{-1300*43}simplify

266.6 e^{- 1300 \cdot 43}

simplify 240*1.08^{-3}simplify

240 \cdot 1.0 8^{- 3}

simplify (0.5x10^{-6})(0.3x10^{-2})simplify

(0.5 x 1 0^{- 6}) (0.3 x 1 0^{- 2})

simplify (8281^{12})/(10000^{12)}simplify

\frac{828 1 ^{12}}{1000 0 ^{12}}

simplify e^{7x}e^{3x}simplify

e^{7 x} e^{3 x}

Frequently Asked Questions (FAQ)

What is e^{-t}sin(wt+v) ?
The solution to e^{-t}sin(wt+v) is (sin(tw+v))/(e^t)