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Popular >

simplify e^{-at}cos(bt)

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

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Frequently Asked Questions (FAQ)

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