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Popular >

simplify e^{-st}*sin(2t)

Solution

simplify

e^{- s t} \cdot sin (2 t)

Solution

\frac{sin ( 2 t )}{e ^{s t}}

Solution steps

e^{- s t} sin (2 t)

Apply exponent rule:

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

= \frac{1}{e ^{s t}} sin (2 t)

Multiply fractions:

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

= \frac{1 \cdot sin ( 2 t )}{e ^{s t}}

Multiply:

1 \cdot sin (2 t) = sin (2 t)

= \frac{sin ( 2 t )}{e ^{s t}}

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\frac{2 3 ^{18}}{3 5 ^{18}}

Frequently Asked Questions (FAQ)

What is e^{-st}*sin(2t) ?
The solution to e^{-st}*sin(2t) is (sin(2t))/(e^{st)}