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Popular >

simplify e^{-x}cos(1/2)x

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot cos (\frac{1}{2}) = cos (\frac{1}{2})

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

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Frequently Asked Questions (FAQ)

What is e^{-x}cos(1/2)x ?
The solution to e^{-x}cos(1/2)x is (cos(1/2)x)/(e^x)