What is e^{-t/2}cos((tsqrt(4a-1))/2) ?

The solution to e^{-t/2}cos((tsqrt(4a-1))/2) is (cos((tsqrt(4a-1))/2))/(e^{t/2)}

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simplify e^{-t/2}cos((tsqrt(4a-1))/2)

simplify

e^{- \frac{t}{2}} cos (\frac{t 4 a - 1}{2})

\frac{cos ( \frac{t 4 a - 1}{2} )}{e ^{\frac{t}{2}}}

Solution steps

e^{- \frac{t}{2}} cos (\frac{t 4 a - 1}{2})

Apply exponent rule:

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

= \frac{1}{e ^{\frac{t}{2}}} cos (\frac{t 4 a - 1}{2})

Multiply fractions:

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

= \frac{1 \cdot cos ( \frac{t 4 a - 1}{2} )}{e ^{\frac{t}{2}}}

Multiply:

1 \cdot cos (\frac{t 4 a - 1}{2}) = cos (\frac{t 4 a - 1}{2})

= \frac{cos ( \frac{t 4 a - 1}{2} )}{e ^{\frac{t}{2}}}

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

x^{n} \cdot y^{n}

e^{- s t} sin (6 t)

5^{n^{2} + 2} \cdot 0. 2^{n^{2} + 2}

5^{32}

What is e^{-t/2}cos((tsqrt(4a-1))/2) ?
The solution to e^{-t/2}cos((tsqrt(4a-1))/2) is (cos((tsqrt(4a-1))/2))/(e^{t/2)}