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Popular >

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

Solution

simplify

e^{- ∣ t ∣} cos (3 t)

Solution

\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 ∣}}

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Frequently Asked Questions (FAQ)

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