Trigonometry
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Given z1=15(cosπ2+isinπ2)z_1=\frac15\left(\cos\frac{\pi}{2}+i\sin\frac{\pi}{2}\right) and z2=5(cosπ5+isinπ5)z_2=5\left(\cos\frac{\pi}{5}+i\sin\frac{\pi}{5}\right), find the quotient z1z2\frac{z_1}{z_2}.
z1z2=125CiS(3π10)\frac{z_1}{z_2}=\frac{1}{25}CiS\left(\frac{3\pi}{10}\right)
z1z2=125CiS(5π2)\frac{z_1}{z_2}=\frac{1}{25}CiS\left(\frac{5\pi}{2}\right)
z1z2=−245CiS(3π10)\frac{z_1}{z_2}=-\frac{24}{5}CiS\left(\frac{3\pi}{10}\right)
z1z2=−245CiS(52)\frac{z_1}{z_2}=-\frac{24}{5}CiS\left(\frac52\right)