Find the product of z1 and z2, where z1 = 5 (cos 60° + i sin 60°) and z2 = 7 (cos 210° + i sin 210°)

Write in a + bi form

Question

Cara Ferguson

Mathematics

9 May, 11:23

Find the product of z1 and z2, where z1 = 5 (cos 60° + i sin 60°) and z2 = 7 (cos 210° + i sin 210°)

Write in a + bi form

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Answers (1)

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Meghan Maddox · Answer 1

cos210=cos (180+30) = -cos30=-√32. sin210=sin (180+30) = -sin30=-12. 3 (cos210+isin210) = 3 (-√32) + 3i (-12). - (32) √3 - (32) i. My favourite way of seeing that sin30=12 and cos30=√32 is ...

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But that's what I say personally

Find the product of z1 and z2, where z1 = 5 (cos 60° + i sin 60°) and z2 = 7 (cos 210° + i sin 210°)Write in a + bi form

Find the product of z1 and z2, where z1 = 5 (cos 60° + i sin 60°) and z2 = 7 (cos 210° + i sin 210°)

Write in a + bi form