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Popular >

simplify e^{-2t}sin(ωt+θ)

Solution

simplify

e^{- 2 t} sin (ω t + θ)

Solution

\frac{sin ( ω t + θ )}{e ^{2 t}}

Solution steps

e^{- 2 t} sin (ω t + θ)

Apply exponent rule:

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

= \frac{1}{e ^{2 t}} sin (ω t + θ)

Multiply fractions:

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

= \frac{1 \cdot sin ( ω t + θ )}{e ^{2 t}}

Multiply:

1 \cdot sin (ω t + θ) = sin (ω t + θ)

= \frac{sin ( ω t + θ )}{e ^{2 t}}

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Frequently Asked Questions (FAQ)

What is e^{-2t}sin(ωt+θ) ?
The solution to e^{-2t}sin(ωt+θ) is (sin(ωt+θ))/(e^{2t)}