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Popular >

simplify cos(20t)e^{-3t}

Solution

simplify

cos (20 t) e^{- 3 t}

Solution

\frac{cos ( 20 t )}{e ^{3 t}}

Solution steps

cos (20 t) e^{- 3 t}

Apply exponent rule:

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

= \frac{1}{e ^{3 t}} cos (20 t)

Multiply fractions:

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

= \frac{1 \cdot cos ( 20 t )}{e ^{3 t}}

Multiply:

1 \cdot cos (20 t) = cos (20 t)

= \frac{cos ( 20 t )}{e ^{3 t}}

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Frequently Asked Questions (FAQ)

What is cos(20t)e^{-3t} ?
The solution to cos(20t)e^{-3t} is (cos(20t))/(e^{3t)}