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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 2 = 2

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

\frac{- 24}{6}

2 - 2 \cdot 2 + 2

2^{x} \times 4^{x}

10 e^{- 12500 \cdot 100 \cdot 1 0^{- 6}}

0.77 \cdot 1.2 \cdot 1 0^{- 3} \cdot (10 - 20)

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