What is (5+e^{it})^3 ?

The solution to (5+e^{it})^3 is (5+cos(t)+isin(t))^3

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simplify (5+e^{it})^3

simplify

(5 + e^{i t})^{3}

(5 + cos (t) + i sin (t))^{3}

Solution steps

(5 + e^{i t})^{3}

Apply imaginary number rule:

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

= (5 + cos (t) + i sin (t))^{3}

(x - 3 i) (x - 2) (x + i)

(x + 1, y - 2) (x + 1 y - 2)

(5 y^{3} + 2 x) d x + 15 y^{2} x d y

cos (x) (cos (2 x) - sin (x))

(v^{2} + u^{2}) v^{2} + u^{2}