Question

Please check my answers I really need to do my homeowrk!;This are polar coordinates we're studying-I'm almost positive the first two are correct.
1.Which of the folowing is another representation of (-3,pi)?
(3,120degree)
(3,0 degree)I think it is this one??
((-3,0 degree)
2.Which is not a representation of (5,150 degree)
(-5,-30 degree)I think it is this one?
(-5,330 degree)
(5,510 degree)

3.Give 3 representations of (3,240 degree)One has to be in radians
My choices are: (3,600 degrees)
(3,-120 degree degree)
(-3,pi/3)
4.Give 3 representations of (-6,3pi/4)one has to be radians
I gave-(-6,495 degrees)
(-6,-225 degrees)
(6,-pi/4)

Answer 1

1. (-3,pi) = -3cos(pi) + i(-3)sin(pi) =
3 + io = 3.

(3,120deg) = -1.5 + i2.6
(3,0deg) = 3 + i0 = 3.
(-3,0deg) = -3 + i0 = -3.

2. (5,150deg) = -4.33 + i2.5

(-5,-30deg) = -4.33 + i2.5
(-5,330deg) = -4.33 + i2.5
(5,510deg) = -4.33 + i2.5
My calculations show that all of # 2 is
identical.

3. (3,240deg) = -1.5 - i2.6

(3,600deg) = -1.5 - i2.6
(3,-120deg) = -1.5 - i2.6
(-3,pi/3) = -1.5 - i2.6
Good!!

4. (-6,3pi/4) = 4.24 - i4.24

(-6,495deg) = 4.24 - i4.24
(-6,-225deg) = 4.24 -i4.24
(6,-pi/4) = 4.24 - i4.24.

Very good!