Question

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

z1=5(cos(pi/2)+i sin(pi/2))
z2=2(cos(5pi/6)+i sin(5pi/6))

Answer 1

What's the theorem?

Answer 2

to find the product of that in trigonometric (polar) form, you would have to multiply the r values together in z1 and z1 and then add the angle

Answer 3

z1 and z2, sry typo

Answer 4

no, 5*2 = 10

Answer 5

and that is the r value for the product

Answer 6

oh sorry typo

Answer 7

now, to find the new angle, just add pi/2 and 5pi/6

Answer 8

4pi/3

Answer 9

If you are going to find quotient later for another question, do the exact opposite, divide the r values and subtract angles

Answer 10

and yes that is correct

Answer 11

that looks like choice c. then.

Answer 12

yeah

Answer 13

so the angles are the numbers in front of the parenthesis and the r values are those in the parenthesis?

Answer 14

no, the r value is the number outside of parenthesis (length of vector; in your question, that is 5 and 2), and the angle is in the parentheses.

Answer 15

http://hotmath.com/hotmath_help/topics/polar-form-of-a-complex-number.html

Answer 16

this should help

Answer 17

ok thank you :)

Answer 18

You're welcome :)

Answer 19

can I ask you one more question... I can open another question up if you want.

Answer 20

sure go ahead