Answer:
z = 2 sqrt(65) (cos( -.52) +i sin (-.52) )
Step-by-step explanation:
to find the radius = sqrt(a^2 +b^2)
r = sqrt((-14^2 +8^2))
r = sqrt( 196+ 64)
r = sqrt (260)
r = sqrt(4*65)
r = 2sqrt(65)
theta = arctan (b/a)
theta = arctan (8/-14)
theta = arctan (-4/7)
theta =-.52 radians
z = r (cos theta + i sin theta)
z = 2 sqrt(65) (cos( -.52) +i sin (-.52) )
