Answered

Find the quotient of the complex numbers. Leave answer in polar form.


z1 = sqrt(3)(cos 7pi/4 + i sin 7pi/4)

z2 = sqrt(6)(cos 9pi/4 +i+sin 9pi/4)

Asqrt(2)/2 (cos 3pi/2 - i sin 3pi/2)

Bsqrt(2)/2(cos 3pi/2 - i sin 3pi/2

Csqrt(2)/2(sin 3pi/2 +i cos 3pi/2)

Dsqrt(2)/2(cos 3pi/2 +i sin 3pi/2)

Verified Answer :

LammettHash

\(\dfrac{z_1}{z_2}=\dfrac{\sqrt3}{\sqrt6}\left(\cos\left(\dfrac{7\pi}4-\dfrac{9\pi}4\right)+i\sin\left(\dfrac{7\pi}4-\dfrac{9\pi}4\right)\right)\)
\(\dfrac{z_1}{z_2}=\sqrt2\left(\cos\left(-\dfrac{2\pi}4\right)+i\sin\left(-\dfrac{2\pi}4\right)\right)\)
\(\dfrac{z_1}{z_2}=\sqrt2\left(\cos\left(-\dfrac\pi2\right)+i\sin\left(-\dfrac\pi2\right)\right)\)
\(\dfrac{z_1}{z_2}=\sqrt2\left(\cos\dfrac{3\pi}2+i\sin\dfrac{3\pi}2\right)\)

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