What is expand [r(cos(θ)+isin(θ))]^n ?

The solution to expand [r(cos(θ)+isin(θ))]^n is (rcos(θ)+irsin(θ))^n

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expand [r(cos(θ)+isin(θ))]^n

expand

[r (cos (θ) + i sin (θ))]^{n}

(r cos (θ) + i r sin (θ))^{n}

Solution steps

(r (cos (θ) + i sin (θ)))^{n}

Expand

r (cos (θ) + i sin (θ)) : r cos (θ) + i r sin (θ)

= (r cos (θ) + i r sin (θ))^{n}

(70 e^{2 t} + \frac{1}{t + 5}) d x

\frac{x ^{4} + y ^{4} + z ^{4}}{( x ^{2} + y ^{2} + z ^{2} ) ^{2}}

\frac{1}{( x ^{2} + 1 ) x ^{2} + 1}

\frac{( 1 - 3 x ^{2} )}{x ( 1 + 3 x ^{2} )}

\frac{\partial}{\partial t} ((y) (π - t))

What is expand [r(cos(θ)+isin(θ))]^n ?
The solution to expand [r(cos(θ)+isin(θ))]^n is (rcos(θ)+irsin(θ))^n