What is e^{-3t}*((1-cos(t)))/t ?

The solution to e^{-3t}*((1-cos(t)))/t is (-cos(t)+1)/(e^{3t)t}

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simplify e^{-3t}*((1-cos(t)))/t

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

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

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

\frac{( 2.115 ) ^{6}}{6 !} e^{- 2.115}

\frac{a ^{c x}}{x ^{c x}}

f^{- 1^{^{'}}} (9)

(- (\frac{64}{27}) (2 - \frac{8}{7}))^{- 0.5}

(1.1176) (8.3 \cdot 1 0^{- 5}) (- 25)

What is e^{-3t}*((1-cos(t)))/t ?
The solution to e^{-3t}*((1-cos(t)))/t is (-cos(t)+1)/(e^{3t)t}