Question

Find the product of the complex numbers. Leave answers in polar form. 2. $z_1 = 3(cos \frac{5\pi}{8} + i sin \frac{5\pi}{8})$ $z_2 = 10(cos \frac{\pi}{16} + i sin \frac{\pi}{16})$

          Find the product of the complex numbers. Leave answers in polar form.
2.
$z_1 = 3(cos \frac{5\pi}{8} + i sin \frac{5\pi}{8})$
$z_2 = 10(cos \frac{\pi}{16} + i sin \frac{\pi}{16})$

Find the product of the complex numbers. Leave answers in polar form.
2.
z1 = 3(cos (5π)/(8) + i sin (5π)/(8))
z2 = 10(cos (π)/(16) + i sin (π)/(16))

Added by Sarah B.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Allison Knapp

09/23/2021

Step 1

Step 1: Convert z1 and z2 to rectangular form using Euler's formula: z1 = 3(cos(5π/8) + i sin(5π/8)) = 3e^(i(5π/8)) z2 = 10(cos(π/16) + i sin(π/16)) = 10e^(i(π/16)) Show more…

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Find the product of the complex numbers. Leave answers in polar form. 2. z_(1)=3(cos5(pi )/(8)+isin5(pi )/(8)) z_(2)=10(cos(pi )/(16)+isin(pi )/(16)) Find the product of the complex numbers. Leave answers in polar form z1=3cos 5/8+i sin 5/8) Z2 = 10(cos T/16 +i sin T/16)