Question

Another representation, in polar coordinates, of the point (157) is -18 6 117 6

Answer 1

Recall that in polar coordinates:

`(r,\theta)=(-r,\theta+\pi)\text{.}`

1) Notice that:

`(11\pi)/(6)=(5\pi+6\pi)/(6)=(5\pi)/(6)+\pi`

2) Using the first equation we get:

`(1,(5\pi)/(6))=(-1,(5\pi)/(6)+\pi)=(-1,(11\pi)/(6))\text{.}`

Answer: -1.