Paul could play 16 songs. He learns some new songs. Now, Paul can play 23 songs. In the first box, enter an equation to represen
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De Moivre's Theorem states that if a complex number is written in the polar coordinate form [ r (cosθ + 
sinθ)] and you raise it to the power n, then this can be evaluated by raising the modulus (r) to the power and multiply the argument (θ) by the power. This therefore would give r ⁿ [cos (nθ) + sin (nθ)].
let A = ∛ <span>(8 cos (4π / 5) + 8 i sin (4π / 5))
</span>⇒ A = ∛ <span>(8 [cos (4π / 5) + i sin (4π / 5)])
</span>
Now by applying De Moivre's Theorem,
⇒ A =
[cos (
× 
) + sin ( × )
⇒ A = 2 [ cos (
) + sin ()
⇒ A = 2 [0.0117 + 0.01297 ] rads
let A = ∛ <span>(8 cos (4π / 5) + 8 i sin (4π / 5))
</span>⇒ A = ∛ <span>(8 [cos (4π / 5) + i sin (4π / 5)])
</span>
Now by applying De Moivre's Theorem,
⇒ A =
⇒ A = 2 [ cos (
⇒ A = 2 [0.0117 +