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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

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Frequently Asked Questions (FAQ)

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