Given the rectangular-form point (–1, 4), which of the following is an approximate primary

representation in polar form?
A. −(4.12, 1.82)
B. (−4.12, −1.33)
C. (4.12, 1.82)
D. (4.12, 4.96)

Change 8 cis 240degrees to rectangular form.

A. -4(Square root 3)-4i
B. -8(Square root 3)-8i
C. -4-4(Square root 3i)
D. -8-8(Square root 3i)

1 answer

(-1,4) is in quadrant II
tan^-1 Ø = -4
Ø = 104° or 1.82 radians
the length of r is √(1+16) = √17 = appr 4.12

mmmmhhhh? Can you do something with that?

8 cis 240°
= 8(cos240° + isin240°)
= 8(-1/2 + i(-√3/2)
= -4 - 4√3 i