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Popular >

simplify cos(at)*e^{-2t}

Solution

simplify

cos (a t) \cdot e^{- 2 t}

Solution

\frac{cos ( a t )}{e ^{2 t}}

Solution steps

cos (a t) e^{- 2 t}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

= \frac{cos ( a t )}{e ^{2 t}}

Popular Examples

simplify ((50)/(1.092*10^{-2)})*10^{-6}simplify

(\frac{50}{1.092 \cdot 1 0 ^{- 2}}) \cdot 1 0^{- 6}

simplify (sqrt(sec^2(x)-1))/(sqrt(1-cos^2(x)))simplify

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

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50000 (1.0152)^{- 4}

simplify 5000*(e^{0.22})/(e^{0.08)}simplify

5000 \cdot \frac{e ^{0.22}}{e ^{0.08}}

simplify (1/2)(pi)(500)(0.56*10^{-6})simplify

(\frac{1}{2}) (π) (500) (0.56 \cdot 1 0^{- 6})

Frequently Asked Questions (FAQ)

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