For the following exercises, find z1 z2 in polar form.

Expert Solution

Consider two complex numbers as follows,

z1 = 3∙cis(π/4) and z2 = 5∙cis(π/6)

Use the formula for the multiplication of two complex numbers,

z1z1 = r1r2[cos(θ1 + θ2) + sin(θ1 + θ2)]

Substitute r1 = 3, r2 = 5, θ1 = π/4 and θ2 = π/6, the multiplication of above complex numbers will be,

z1z1 = 3 × 5 ×[cos(π/4 + π/6) + sin(π/4 + π/6)]

= 15 × [cos(5π/12) + sin(5π/12)]

Therefore, the multiplication of above complex numbers is z1z2 = 15∙(5π/12).

Junaid answered 1 year ago

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Question

For the following exercises, find z1 z2 in polar form.

Solutions

Expert Solution

Related Solutions

Poducts z1 and z2 as a z1=5+3i and z2=4-2i, write the following in the form a+bi

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