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Popular >

simplify e^{-t}sin(wt+a)

Solution

simplify

e^{- t} sin (wt + a)

Solution

\frac{sin ( tw + a )}{e ^{t}}

Solution steps

e^{- t} sin (wt + a)

Apply exponent rule:

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

= \frac{1}{e ^{t}} sin (tw + a)

Multiply fractions:

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

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

Multiply:

1 \cdot sin (wt + a) = sin (wt + a)

= \frac{sin ( tw + a )}{e ^{t}}

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Frequently Asked Questions (FAQ)

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