Now
BA
Observed:-
Help please algebra hurts my brain
2 answers:
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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 +
Answer:
<A = 41.4°
Step-by-step explanation:
Recall, SOH CAH TOA
Reference angle = <A
Hypotenuse length = 8
Adjacent length = 6
Since Hypotenuse and Adjacent are involved, we would apply CAH, which is:
Cos A = Adj/Hyp
Plug in the values
Cos A = 6/8
Cos A = 0.75
A = 41.4096221° ≈ 41.4° (nearest tenth)