What is e^{-0.4t}*cos(12t) ?

The solution to e^{-0.4t}*cos(12t) is (cos(12t))/(e^{0.4t)}

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simplify e^{-0.4t}*cos(12t)

simplify

e^{- 0.4 t} \cdot cos (12 t)

\frac{cos ( 12 t )}{e ^{0.4 t}}

Solution steps

e^{- 0.4 t} cos (12 t)

Apply exponent rule:

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

= \frac{1}{e ^{0.4 t}} cos (12 t)

Multiply fractions:

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

= \frac{1 \cdot cos ( 12 t )}{e ^{0.4 t}}

Multiply:

1 \cdot cos (12 t) = cos (12 t)

= \frac{cos ( 12 t )}{e ^{0.4 t}}

(3 y^{4}) (2 y^{2})

1.08 \cdot 1 0^{- 10}

, (x^{3})^{2}

(x^{3} y^{2}) (x^{2} y)

0.15 \cdot 20 \cdot 1 0^{- 3}

What is e^{-0.4t}*cos(12t) ?
The solution to e^{-0.4t}*cos(12t) is (cos(12t))/(e^{0.4t)}