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Popular >

simplify e^{-x}*cos(2x)

Solution

simplify

e^{- x} \cdot cos (2 x)

Solution

\frac{cos ( 2 x )}{e ^{x}}

Solution steps

e^{- x} cos (2 x)

Apply exponent rule:

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

= \frac{1}{e ^{x}} cos (2 x)

Multiply fractions:

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

= \frac{1 \cdot cos ( 2 x )}{e ^{x}}

Multiply:

1 \cdot cos (2 x) = cos (2 x)

= \frac{cos ( 2 x )}{e ^{x}}

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Frequently Asked Questions (FAQ)

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