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Popular >

simplify e^{(-3t)}sin(t)

Solution

simplify

e^{(- 3 t)} sin (t)

Solution

\frac{sin ( t )}{e ^{3 t}}

Solution steps

e^{(- 3 t)} sin (t)

Apply exponent rule:

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

= \frac{1}{e ^{3 t}} sin (t)

Multiply fractions:

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

= \frac{1 \cdot sin ( t )}{e ^{3 t}}

Multiply:

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

= \frac{sin ( t )}{e ^{3 t}}

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Frequently Asked Questions (FAQ)

What is e^{(-3t)}sin(t) ?
The solution to e^{(-3t)}sin(t) is (sin(t))/(e^{3t)}