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Popular >

simplify sin(wt)*e^{-st}

Solution

simplify

sin (wt) \cdot e^{- s t}

Solution

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

Solution steps

sin (wt) e^{- s t}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

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Frequently Asked Questions (FAQ)

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