What is e^{i((sqrt(3)y*a)/2-(2pi)/3)} ?

The solution to e^{i((sqrt(3)y*a)/2-(2pi)/3)} is cos((3sqrt(3)ay-4pi)/6)+isin((3sqrt(3)ay-4pi)/6)

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simplify e^{i((sqrt(3)y*a)/2-(2pi)/3)}

simplify

e^{i (\frac{3 y \cdot a}{2} - \frac{2 π}{3})}

cos (\frac{3 3 a y - 4 π}{6}) + i sin (\frac{3 3 a y - 4 π}{6})

Solution steps

e^{i (\frac{3 y a}{2} - \frac{2 π}{3})}

Apply imaginary number rule:

e^{ia} = cos (a) + i sin (a)

= cos (\frac{3 3 a y - 4 π}{6}) + i sin (\frac{3 3 a y - 4 π}{6})

\frac{d}{d x} ((x + 1) ln (x)) - x + 1

\frac{4 e ^{x}}{( 4 + e ^{x} ) ^{2}}

(- 4 + \frac{6 i}{n})^{2}

(cos (3 t) - \frac{1}{3} cos^{3} (3 t)) cos (3 t)

x^{\frac{4}{5}} (2 x - 2)

What is e^{i((sqrt(3)y*a)/2-(2pi)/3)} ?
The solution to e^{i((sqrt(3)y*a)/2-(2pi)/3)} is cos((3sqrt(3)ay-4pi)/6)+isin((3sqrt(3)ay-4pi)/6)