What is e^{-st}*sin(wt+θ) ?

The solution to e^{-st}*sin(wt+θ) is (sin(tw+θ))/(e^{st)}

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simplify e^{-st}*sin(wt+θ)

simplify

e^{- s t} \cdot sin (wt + θ)

\frac{sin ( tw + θ )}{e ^{s t}}

Solution steps

e^{- s t} sin (wt + θ)

Apply exponent rule:

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

= \frac{1}{e ^{s t}} sin (tw + θ)

Multiply fractions:

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

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

Multiply:

1 \cdot sin (wt + θ) = sin (wt + θ)

= \frac{sin ( tw + θ )}{e ^{s t}}

2 (22) (23)

(e^{1 - 1} + e^{2 - 1} + e^{3 - 1})^{- 1}

A t e^{- s t}

18 x^{2} y^{2} z^{4}

e^{- (x - k)^{2}}

What is e^{-st}*sin(wt+θ) ?
The solution to e^{-st}*sin(wt+θ) is (sin(tw+θ))/(e^{st)}