Question

Find the quotient of the complex numbers. Express your answer in trigonometric form.

z1 = 7(cos 15degrees + i sin 15degrees)
z2 = 2(cos 110degrees + i sin 110degrees)

A. 7/2 (cos 265degrees + i sin 265degrees)
B. 5 (cos (-95degrees) + i sin (-95degrees))
C. 14 (cos 125degrees + i sin 125degrees)
D. 9 (cos 125degrees + i sin 125degrees)

Answer 1

Here's the formula: \[\frac{ r _{1} }{ r_{2} } (\cos [\theta _{1} - \theta _{2}] + i \sin [\theta _{1} - \theta _{2}])\]

Answer 2

When you look at it, it could possibly be A because of 7/2. But if you subtract the degrees, it would look like B. I need help!

Answer 3

It is A everyone :)