What is e^{-6t}cos(2(t-6)) ?

The solution to e^{-6t}cos(2(t-6)) is (cos(2(t-6)))/(e^{6t)}

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simplify e^{-6t}cos(2(t-6))

simplify

e^{- 6 t} cos (2 (t - 6))

\frac{cos ( 2 ( t - 6 ) )}{e ^{6 t}}

Solution steps

e^{- 6 t} cos (2 (t - 6))

Apply exponent rule:

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

= \frac{1}{e ^{6 t}} cos (2 (t - 6))

Multiply fractions:

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

= \frac{1 \cdot cos ( 2 ( t - 6 ) )}{e ^{6 t}}

Multiply:

1 \cdot cos (2 (t - 6)) = cos (2 (t - 6))

= \frac{cos ( 2 ( t - 6 ) )}{e ^{6 t}}

6 (5) (7.5)^{4} e^{- \frac{5 ( 7.5 )}{4}} [1 - \frac{1}{4} (7.5)]

(0.4) (44.938 \cdot 1 0^{- 9})

x 1 + \frac{9}{x}

107 (1 + 0.1414)^{- 3}

(7 x^{8}) (6 x^{9}) (8 x^{7})

What is e^{-6t}cos(2(t-6)) ?
The solution to e^{-6t}cos(2(t-6)) is (cos(2(t-6)))/(e^{6t)}