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Find the Product or Quotient, as Indicated z1z _ { 1 }

Question 58

Multiple Choice

Find the product or quotient, as indicated. Leave your answer in polar form.
-Find the product of z1z _ { 1 } and z2z _ { 2 } .
z1=5[cos(75) +isin(75) ],z2=3(cos135+isin135) z _ { 1 } = 5 \left[ \cos \left( 75 ^ { \circ } \right) + i \sin \left( 75 ^ { \circ } \right) \right] , z _ { 2 } = \sqrt { 3 } \left( \cos - 135 ^ { \circ } + i \sin - 135 ^ { \circ } \right)


A) 53[cos(210) +isin(210) ]5 \sqrt { 3 } \left[ \cos \left( 210 ^ { \circ } \right) + i \sin \left( 210 ^ { \circ } \right) \right]
B) (5+3) [cos(60) +isin(60) ]( 5 + \sqrt { 3 } ) \left[ \cos \left( - 60 ^ { \circ } \right) + i \sin \left( - 60 ^ { \circ } \right) \right]
C) 53[cos(60) +isin(60) ]5 \sqrt { 3 } \left[ \cos \left( - 60 ^ { \circ } \right) + \mathrm { i } \sin \left( - 60 ^ { \circ } \right) \right]
D) 53[cos(10,125) +isin(10,125) ]5 \sqrt { 3 } \left[ \cos \left( - 10,125 ^ { \circ } \right) + i \sin \left( - 10,125 ^ { \circ } \right) \right]

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