Question

graph each point in a polar coordinate system, then convert the given polar coordinate to rectangular coordinates.
(-1, pi/8)

this is all my homework is and i have other ones where i have to reverse the coordinates from recangle to polar

Answer 1

Polar coords give you $$(r,\theta)$$ so that on the axis you draw something like

you can then convert that point to an (x,y) rectangular coord. by using trig and making a triangle. $$y=\sin(\theta) \\ x = \cos(\theta) $$

Answer 2

then where does the pi/8 land? i cant find that

Answer 3

radian notation can be converted as follows:
0pi = 0 degrees
pi = 180 degrees
2pi = 360 degrees

so pi/8 = 180/8 = 22.5 degrees. first quadrant

Answer 4

what the heck?! haha

Answer 5

i didnt think about the 180 over 8

Answer 6

dang it. now im lost :/ i dont know what to do next

Answer 7

so to get the (x,y) you use (cos(angle), sin(angle))
so for this one
\[\bigg(\cos\left(\frac{\pi}{8}\right),\sin\left(\frac{\pi}{8}\right)\bigg)\]