2 Convert to polar coordinates w r0 0

2.) Convert to polar coordinates w/ r>0, 0<<2 . Please show ALL your work.

a.) (33, -3) b.)(-6, -2) c.) (1,-2) d.) (0,-3)

Solution

a.) (33, -3)

r=[(33)²+3²]

r=6

=2-tan^-1(3/(33))

=2-(/6)

=11/6

b.)(-6, -2)

r=[(-6)²+(-2)²]

r=10

=+tan^-1(2/6)

=+(/6)

=7/6

c.) (1,-2)   

r=[1²+(-2)²]

r=5

=2-tan^-1(2/1)

=2--tan^-1(2)

=11/6

d.) (0,-3)

r=[0²+(-3)²]

r=3

=2-tan^-1(3 /0)

=2-(/2)

=3/2