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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot sin^{2} (t) = sin^{2} (t)

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

Popular Examples

simplify (6.67*10^{-11})*(1*10^{30})*(8*10^{30})simplify

(6.67 \cdot 1 0^{- 11}) \cdot (1 \cdot 1 0^{30}) \cdot (8 \cdot 1 0^{30})

simplify 10e^{-10000(0.005)}simplify

10 e^{- 10000 (0.005)}

simplify e^{-2t}u(t/2)simplify

e^{- 2 t} u (\frac{t}{2})

simplify sqrt(\sqrt{61)}simplify

61

simplify (3x^{2/3})(4x^{3/2})simplify

(3 x^{\frac{2}{3}}) (4 x^{\frac{3}{2}})

Frequently Asked Questions (FAQ)

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