What is the product of z1 and z2 if z1 = 2 (cos70° + i sin70°) and z2 = 4 (cos200° + i sin200°) ?

Question

Mathematics

Makhi

28 May, 21:59

What is the product of z1 and z2 if z1 = 2 (cos70° + i sin70°) and z2 = 4 (cos200° + i sin200°) ?

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Answers (1)

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Jordan Dunn · Answer 1

8 (cos270° + i sin270°)

Step-by-step explanation:

(cos (a) + i * sin (a)) * (cos (b) + i * sin (b)) = cos (a + b) = i * sin (a + b)

2 * 4 * (cos (270) + i * sin (270))

8 (cos270° + i sin270°)