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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot a = a

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

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Frequently Asked Questions (FAQ)

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