trigonometry question help

Question

Perform the following multiplication and write the product in trigonometric form. Write the magnitude in exact form. Write the argument in radians and round it to two decimal places if necessary.

(−3+5i)(√2+3i)

Answer 1

multiply, use FOIL

a+bi = 5sqr2-9 + (-3sqr2-15)i

angle = 1.033 pi, it's quadrant III

radius = about 4.66

in polar coordinates (4.66, 1.033pi)

Answer 2

multiply, use FOIL

a+bi = 5sqr2-9 + (-3sqr2-15)i

angle = 1.033 pi, it's quadrant III

radius = about 4.66

in polar coordinates (4.66, 1.033pi)