Math  /  Word Problems

QuestionFind the product of z1=1+iz_{1}=-1+i and z2=1+3iz_{2}=1+\sqrt{3} i and express it in polar form.

Studdy Solution
Calculate the product of the complex numbers.
Product=22(cos11π12+isin11π12)Product =2\sqrt{2} (\cos{\frac{11\pi}{12}} + i\sin{\frac{11\pi}{12}})So, the product of the complex numbers z=+iz_{}=-+i and z2=+3iz_{2}=+\sqrt{3} i in polar form is 22(cos11π12+isin11π12)2\sqrt{2} (\cos{\frac{11\pi}{12}} + i\sin{\frac{11\pi}{12}}).

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