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Popular >

simplify e^{-at}cos(ct)

Solution

simplify

e^{- a t} cos (c t)

Solution

\frac{cos ( c t )}{e ^{a t}}

Solution steps

e^{- a t} cos (c t)

Apply exponent rule:

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

= \frac{1}{e ^{a t}} cos (c t)

Multiply fractions:

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

= \frac{1 \cdot cos ( c t )}{e ^{a t}}

Multiply:

1 \cdot cos (c t) = cos (c t)

= \frac{cos ( c t )}{e ^{a t}}

Popular Examples

simplify 664000(6.626*10^{-34})simplify

664000 (6.626 \cdot 1 0^{- 34})

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8.3 \cdot 1 0^{- 8}

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0.2 c^{- 0.8} b^{0.2}

simplify m^2x^2 simplify

m^{2} x^{2}

simplify sqrt(a^r)simplify

a^{r}

Frequently Asked Questions (FAQ)

What is e^{-at}cos(ct) ?
The solution to e^{-at}cos(ct) is (cos(ct))/(e^{at)}