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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

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Frequently Asked Questions (FAQ)

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