What is cos(2t-6) 1/s e^{-3s} ?

The solution to cos(2t-6) 1/s e^{-3s} is (cos(2t-6))/(e^{3s)s}

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simplify cos(2t-6) 1/s e^{-3s}

simplify

cos (2 t - 6) \frac{1}{s} e^{- 3 s}

\frac{cos ( 2 t - 6 )}{e ^{3 s} s}

Solution steps

cos (2 t - 6) \frac{1}{s} e^{- 3 s}

Apply exponent rule:

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

= \frac{1}{s} \cdot \frac{1}{e ^{3 s}} cos (2 t - 6)

Multiply fractions:

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

= \frac{1 \cdot 1 \cdot cos ( 2 t - 6 )}{s e ^{3 s}}

Multiply:

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

= \frac{cos ( 2 t - 6 )}{e ^{3 s} s}

- e^{- 1152 \cdot 150}

1 3^{2 x}

\frac{( 2 x + 2 ) ^{2}}{( x + 2 ) ^{2}}

5 (e)^{- 2}

t (t^{2} - 8)^{5} d t

What is cos(2t-6) 1/s e^{-3s} ?
The solution to cos(2t-6) 1/s e^{-3s} is (cos(2t-6))/(e^{3s)s}