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lilsis76
 3 years 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
lilsis76
 3 years 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

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freewilly922
 3 years ago
Best ResponseYou've already chosen the best response.0Polar 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. $$y=\sin(\theta) \\ x = \cos(\theta) $$

freewilly922
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1351738924218:dw

lilsis76
 3 years ago
Best ResponseYou've already chosen the best response.0then where does the pi/8 land? i cant find that

freewilly922
 3 years ago
Best ResponseYou've already chosen the best response.0radian 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

lilsis76
 3 years ago
Best ResponseYou've already chosen the best response.0i didnt think about the 180 over 8

lilsis76
 3 years ago
Best ResponseYou've already chosen the best response.0dang it. now im lost :/ i dont know what to do next

freewilly922
 3 years ago
Best ResponseYou've already chosen the best response.0so to get the (x,y) you use (cos(angle), sin(angle)) so for this one \[\bigg(\cos\left(\frac{\pi}{8}\right),\sin\left(\frac{\pi}{8}\right)\bigg)\]

lilsis76
 3 years ago
Best ResponseYou've already chosen the best response.0well i guess since x is 1, x will be 1, does that make the y or theta thingy zero ? (0)?

freewilly922
 3 years ago
Best ResponseYou've already chosen the best response.0you need to use your calculator for this. why do you think x is 1?

lilsis76
 3 years ago
Best ResponseYou've already chosen the best response.0dang it, okay its (r, theta) right? okay umm wait. i feel so stupid i dont understand anything im doing

lilsis76
 3 years ago
Best ResponseYou've already chosen the best response.0well i did the calculaotor thingy u said. cos(pi/8) = the .999 and sin(pi/8)= .007

freewilly922
 3 years ago
Best ResponseYou've already chosen the best response.0your 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)

lilsis76
 3 years ago
Best ResponseYou've already chosen the best response.0dang.... :/ the back of the book says the answer is\[\sqrt{2+\sqrt{2}} /2 , \sqrt{2\sqrt{2}} /2\]
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