What is 2e^{-t}cos((pit)/2) ?

The solution to 2e^{-t}cos((pit)/2) is (2cos((pit)/2))/(e^t)

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simplify 2e^{-t}cos((pit)/2)

simplify

2 e^{- t} cos (\frac{π t}{2})

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

Solution steps

2 e^{- t} cos (\frac{π t}{2})

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 2 = 2

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

500000 [1 + (16) (0.0123)]^{- 1}

(e^{6 x})^{\frac{1}{2}}

e^{- 0.2} \cdot (- 51)

e^{- a t} \cdot sin (x t)

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