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Popular >

simplify e^{-t}*sin(wt+θ)

Solution

simplify

e^{- t} \cdot sin (wt + θ)

Solution

\frac{sin ( tw + θ )}{e ^{t}}

Solution steps

e^{- t} sin (wt + θ)

Apply exponent rule:

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

= \frac{1}{e ^{t}} sin (tw + θ)

Multiply fractions:

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

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

Multiply:

1 \cdot sin (wt + θ) = sin (wt + θ)

= \frac{sin ( tw + θ )}{e ^{t}}

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Frequently Asked Questions (FAQ)

What is e^{-t}*sin(wt+θ) ?
The solution to e^{-t}*sin(wt+θ) is (sin(tw+θ))/(e^t)