What is simplify-1/3 e^{3it}(cos(3t)+isin(3t)) ?

The solution to simplify-1/3 e^{3it}(cos(3t)+isin(3t)) is -1/3 (cos(3t)+isin(3t))^2

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simplify-1/3 e^{3it}(cos(3t)+isin(3t))

simplify

- \frac{1}{3} e^{3 i t} (cos (3 t) + i sin (3 t))

- \frac{1}{3} (cos (3 t) + i sin (3 t))^{2}

Solution steps

- \frac{1}{3} e^{3 i t} (cos (3 t) + i sin (3 t))

e^{3 i t} = cos (3 t) + i sin (3 t)

= - \frac{1}{3} (cos (3 t) + i sin (3 t)) (cos (3 t) + i sin (3 t))

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

(cos (3 t) + sin (3 t) i) (cos (3 t) + i sin (3 t)) = (cos (3 t) + i sin (3 t))^{1 + 1}

= - \frac{1}{3} (cos (3 t) + sin (3 t) i)^{1 + 1}

Add the numbers:

1 + 1 = 2

= - \frac{1}{3} (cos (3 t) + sin (3 t) i)^{2}

(ln (x) + 1) (ln (x) + 2)

\frac{( s + 2.847050174 ) ^{2}}{s}

(- 4 v, - 1, 2 u + 1) (0, 2, 1)

(v, u + v, 2 u^{2} - 2 v^{2}) \cdot (- 2 u - 4 v, 4 v, 1)

\frac{\partial}{\partial u} ((y) (uv - z (y, u, v)))

What is simplify-1/3 e^{3it}(cos(3t)+isin(3t)) ?
The solution to simplify-1/3 e^{3it}(cos(3t)+isin(3t)) is -1/3 (cos(3t)+isin(3t))^2