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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

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Frequently Asked Questions (FAQ)

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