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19 January, 01:09

What is the product of z1 and z2 if

z1 = 7[cos (-70°) + i sin (-70°) ] and z2 = 44 (cos115° + i sin115°) ?

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  1. 19 January, 01:22
    0
    308[cos (45) + isin (45) ]

    Step-by-step explanation:

    z1*z2:

    Modulus: r1 * r2

    = 7*44 = 308

    Argument: theta1 + theta2

    = - 70 + 115 = 45

    z1z2 = 308[cos (45) + isin (45) ]

    Or

    z1z2 = 154sqrt (2) + (i) 154sqrt (2)

    sqrt: square root
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