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Popular >

simplify e^{-at}sin(ωt-φ)

Solution

simplify

e^{- a t} sin (ω t - φ)

Solution

\frac{sin ( ω t - φ )}{e ^{a t}}

Solution steps

e^{- a t} sin (ω t - φ)

Apply exponent rule:

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

= \frac{1}{e ^{a t}} sin (ω t - φ)

Multiply fractions:

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

= \frac{1 \cdot sin ( ω t - φ )}{e ^{a t}}

Multiply:

1 \cdot sin (ω t - φ) = sin (ω t - φ)

= \frac{sin ( ω t - φ )}{e ^{a t}}

Popular Examples

simplify ((100-x)^8)/(100^8)simplify

\frac{( 100 - x ) ^{8}}{10 0 ^{8}}

simplify 2.67x10^{-5}k simplify

2.67 x 1 0^{- 5} k

simplify 6.003*10^{-8}simplify

6.003 \cdot 1 0^{- 8}

simplify (2.201x10^{18})x(6.15x10^{-5})simplify

(2.201 x 1 0^{18}) x (6.15 x 1 0^{- 5})

simplify 9.45*10^{-5}simplify

9.45 \cdot 1 0^{- 5}

Frequently Asked Questions (FAQ)

What is e^{-at}sin(ωt-φ) ?
The solution to e^{-at}sin(ωt-φ) is (sin(ωt-φ))/(e^{at)}