Theory of Intelligence
11TH•Mathematics•Complex Numbers•Question 3

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Convert each of the complex numbers $z$ in the rectangular form $x+iy$:

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z=2cos⁡(−33∘)+i 2sin⁡(−33∘)z=2\cos(-33^\circ)+i\,2\sin(-33^\circ)

Use cos⁡(−θ)=cos⁡θ\cos(-\theta)=\cos\theta and sin⁡(−θ)=−sin⁡θ\sin(-\theta)=-\sin\theta:

z=2cos⁡33∘−i 2sin⁡33∘\boxed{z=2\cos 33^\circ-i\,2\sin 33^\circ}

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