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Popular >

simplify e^{-st}sin(-6t)

Solution

simplify

e^{- s t} sin (- 6 t)

Solution

\frac{sin ( - 6 t )}{e ^{s t}}

Solution steps

e^{- s t} sin (- 6 t)

Apply exponent rule:

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

= \frac{1}{e ^{s t}} sin (- 6 t)

Multiply fractions:

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

= \frac{1 \cdot sin ( - 6 t )}{e ^{s t}}

Multiply:

1 \cdot sin (- 6 t) = sin (- 6 t)

= \frac{sin ( - 6 t )}{e ^{s t}}

Popular Examples

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2.3 \cdot 1 0^{- 12}

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\frac{e ^{2}}{e ^{2}}

Frequently Asked Questions (FAQ)

What is e^{-st}sin(-6t) ?
The solution to e^{-st}sin(-6t) is (sin(-6t))/(e^{st)}