Accedmychevron_right11thchevron_rightmathchevron_rightComplex Numberschevron_rightExercise 1.5

(vi)

z=2cos(33)+i2sin(33)z=2\cos(-33^\circ)+i\,2\sin(-33^\circ)

Use cos(θ)=cosθ\cos(-\theta)=\cos\theta and sin(θ)=sinθ\sin(-\theta)=-\sin\theta:

z=2cos33i2sin33\boxed{z=2\cos 33^\circ-i\,2\sin 33^\circ}