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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
 one year ago
 one year ago
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
 one year ago
 one year ago

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freewilly922Best ResponseYou've already chosen the best response.0
Polar coords give you $$(r,\theta)$$ so that on the axis you draw something like dw:1351738791260:dw you can then convert that point to an (x,y) rectangular coord. by using trig and making a triangle. $$y=\sin(\theta) \\ x = \cos(\theta) $$
 one year ago

freewilly922Best ResponseYou've already chosen the best response.0
dw:1351738924218:dw
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
then where does the pi/8 land? i cant find that
 one year ago

freewilly922Best ResponseYou've already chosen the best response.0
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
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
i didnt think about the 180 over 8
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
dang it. now im lost :/ i dont know what to do next
 one year ago

freewilly922Best ResponseYou've already chosen the best response.0
so to get the (x,y) you use (cos(angle), sin(angle)) so for this one \[\bigg(\cos\left(\frac{\pi}{8}\right),\sin\left(\frac{\pi}{8}\right)\bigg)\]
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
well i guess since x is 1, x will be 1, does that make the y or theta thingy zero ? (0)?
 one year ago

freewilly922Best ResponseYou've already chosen the best response.0
you need to use your calculator for this. why do you think x is 1?
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
dang it, okay its (r, theta) right? okay umm wait. i feel so stupid i dont understand anything im doing
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
well i did the calculaotor thingy u said. cos(pi/8) = the .999 and sin(pi/8)= .007
 one year ago

freewilly922Best ResponseYou've already chosen the best response.0
your calculator may be in degree mode instead of radians. Try either switching you mode on the calculator or trying cos(180/8) and sin(180/8)
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
dang.... :/ the back of the book says the answer is\[\sqrt{2+\sqrt{2}} /2 , \sqrt{2\sqrt{2}} /2\]
 one year ago
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