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

z1 = 5 (cos25Deg + i sin25Deg)

z2 = 2 (cos80Deg + isin80Deg)

It is easy after using formula of t he complex numbers

z1 = 5 (cos25Deg + i sin25Deg)

z2 = 2 (cos80Deg + isin80Deg)

so z1/z2 = 5/2cis (25Deg-80Deg) = 5/2cis (-55Deg)

but we know that sin (-55Deg) = - sin (55Deg), and cos (-55Deg) = cos (55Deg),

finally the answer is Z=5/2 (cos55Deg-i sin55Deg) (Z=z1/z2)

5/2 (cos305 degrees + i sin305 degrees)