Trigonometry
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Given z1=23(cos25°+isin25°)z_1=\frac23\left(\cos25\degree+i\sin25\degree\right) and z2=52(cos15°+isin15°)z_2=\frac52\left(\cos15\degree+i\sin15\degree\right), find the product z1・z2z_1・z_2.
z1・z2=53CiS(375°)z_1・z_2=\frac53CiS\left(375\degree\right)
z1・z2=CiS(40°)z_1・z_2=CiS\left(40\degree\right)
z1・z2=196CiS(40°)z_1・z_2=\frac{19}{6}CiS\left(40\degree\right)
z1・z2=196CiS(375°)z_1・z_2=\frac{19}{6}CiS\left(375\degree\right)