What is e^{-2t}cos(sqrt(3t)) ?

The solution to e^{-2t}cos(sqrt(3t)) is (cos(sqrt(3)sqrt(t)))/(e^{2t)}

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simplify e^{-2t}cos(sqrt(3t))

simplify

e^{- 2 t} cos (3 t)

\frac{cos ( 3 t )}{e ^{2 t}}

Solution steps

e^{- 2 t} cos (3 t)

Apply exponent rule:

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

= \frac{1}{e ^{2 t}} cos (3 t)

3 t = 3 t

= \frac{1}{e ^{2 t}} cos (3 t)

Multiply fractions:

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

= \frac{1 \cdot cos ( 3 t )}{e ^{2 t}}

Multiply:

1 \cdot cos (3 t) = cos (3 t)

= \frac{cos ( 3 t )}{e ^{2 t}}

- e^{- (- 1)}

((- 3)^{3})^{3}

1.2 \cdot 1 0^{- 7}

What is e^{-2t}cos(sqrt(3t)) ?
The solution to e^{-2t}cos(sqrt(3t)) is (cos(sqrt(3)sqrt(t)))/(e^{2t)}