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CAIE A Level Mathematics 9709 · Complex numbers

Complex numbers: calculation question

2 marksFoundation

Two complex numbers are given in polar form:

z1=3cis⁡(0.785398)z_1 = 3 \operatorname{cis}\left(0.785398\right) z2=3cis⁡(0)z_2 = 3 \operatorname{cis}\left(0\right)

Find the modulus of the product z1×z2z_1 \times z_2.

  1. (a)

    ∣z1×z2∣=|z_1 \times z_2| =

    [2]

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