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Popular >

simplify ae^{-kt}cos(t)

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot a = a

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

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Frequently Asked Questions (FAQ)

What is ae^{-kt}cos(t) ?
The solution to ae^{-kt}cos(t) is (acos(t))/(e^{kt)}