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Popular >

simplify e^{-st}*cos(2t)

Solution

simplify

e^{- s t} \cdot cos (2 t)

Solution

\frac{cos ( 2 t )}{e ^{s t}}

Solution steps

e^{- s t} cos (2 t)

Apply exponent rule:

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

= \frac{1}{e ^{s t}} cos (2 t)

Multiply fractions:

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

= \frac{1 \cdot cos ( 2 t )}{e ^{s t}}

Multiply:

1 \cdot cos (2 t) = cos (2 t)

= \frac{cos ( 2 t )}{e ^{s t}}

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Frequently Asked Questions (FAQ)

What is e^{-st}*cos(2t) ?
The solution to e^{-st}*cos(2t) is (cos(2t))/(e^{st)}