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Popular >

simplify e^{-3t}cos(5t)

Solution

simplify

e^{- 3 t} cos (5 t)

Solution

\frac{cos ( 5 t )}{e ^{3 t}}

Solution steps

e^{- 3 t} cos (5 t)

Apply exponent rule:

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

= \frac{1}{e ^{3 t}} cos (5 t)

Multiply fractions:

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

= \frac{1 \cdot cos ( 5 t )}{e ^{3 t}}

Multiply:

1 \cdot cos (5 t) = cos (5 t)

= \frac{cos ( 5 t )}{e ^{3 t}}

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Frequently Asked Questions (FAQ)

What is e^{-3t}cos(5t) ?
The solution to e^{-3t}cos(5t) is (cos(5t))/(e^{3t)}