Mathematics: Write the real form of each complex equation. a. z = 4 cos(theta) + 9i sin(theta) b. z = 6 cos(theta) + i sin(theta) c. z = √5 cos(theta) + √10i sin(theta) d. z = 5 − 2i + 4 cos(theta) + 7i sin(theta)

it s actually 64% Step-by-step explanation:...

Write the real form of each complex equation.

mafip1ug

08.01.2022

Step-by-step explanation:

Given

(a) $z=4\cos (\theta )+9i\sin (\theta )$

$Re(z)=4\cos \theta$

$Im(z)=9\sin \theta$

(b) $z=6\cos (\theta )+i\sin (\theta )$

$Re(z)=6\cos \theta$

$Im(z)=\sin \theta$

$Re(z)=\sqrt{5}\cos (\theta )$

$Im(z)=\sqrt{10}\sin (\theta )$

(d) $z=5-2i+4\cos (\theta )+7i\sin (\theta )$

$z=5+4\cos \theta +i(7\sin \theta -2)$

$Re(z)=5+4\cos \theta$

$Im(z)=7\sin \theta -2$

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