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

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

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

simplify

e^{- t} \cdot cos (3 \cdot t)

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

Solution steps

e^{- t} cos (3 t)

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

x \frac{1 , A u}{196.97 g A u} x \frac{6.022 x ^{102}}{d x}

x (x - 8 = 0)

47 e^{- 0.0045 t}

2.54 (17 x 1 0^{- 6})

(123) 3

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