If i was trying to reduce the express 5 < 60deg. +3 < -20deg., and put in rectangular form how would i do that

Question

If i was trying to reduce the express 5 < 60deg. +3 < -20deg., and put in rectangular form how would i do that

Answer 1

You have to break the two vectors into their x and y components and then add them together.

X component = 5 * cos (60°) + 3 * cos (-20°) = 5.32

Y component  = 5 * sin (60°) + 3 * sin (-20°) = 3.30

So expressed as a rectangular form complex number

5.32 + i 3.30

Polar form would be

6.26 &lt; 31.8°