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Popular >

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

Solution

simplify

e^{- l n (2 t)} sin (π t)

Solution

\frac{sin ( π t )}{2 t}

Solution steps

e^{- l n (2 t)} sin (π t)

Apply exponent rule:

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

= \frac{1}{e ^{l n (2 t)}} sin (π t)

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

= \frac{1}{2 t} sin (π t)

Multiply fractions:

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

= \frac{1 \cdot sin ( π t )}{2 t}

Multiply:

1 \cdot sin (π t) = sin (π t)

= \frac{sin ( π t )}{2 t}

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Frequently Asked Questions (FAQ)

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