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anonymous
 one year ago
Determine two pairs of polar coordinates for the point (4, 4) with 0° ≤ θ < 360°.
anonymous
 one year ago
Determine two pairs of polar coordinates for the point (4, 4) with 0° ≤ θ < 360°.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so right now I have \[\cos(\theta) = \frac{ 4 }{ 4\sqrt{2} }\] and \[\sin(\theta)=\frac{ 4 }{ 4\sqrt{2} }\] but i dont know where to go from here... please help!

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the 4's cancel leaving with 1 over sqrt(2) for the first fraction

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1\[\Large \frac{1}{\sqrt{2}} = \frac{\sqrt{2}}{2}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0alright, but how do i make that a polar coordinate. i need to take the arc sin according to the examples in my book but that doesnt work here

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you can use the unit circle

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh wait cause now they are known values on the unit circle

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1look on the unit circle where the x coordinate is \(\Large \frac{1}{\sqrt{2}}\) or \(\Large \frac{\sqrt{2}}{2}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so the first polar coordinate would be \[\left( 4\sqrt{2} , 315\right)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how would i find a second one equal to that?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1439180139138:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1439180155156:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Draw a line from (4,4) through the origin dw:1439180192858:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1439180205002:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so that would be 135 degrees?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes so another polar point would be \(\Large \left( 4\sqrt{2} , 135\right)\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ah ok, thank you for your help!

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you start at the origin facing directly east then you turn 135 degrees counter clockwise still facing this direction, you walk backwards (hence the negative r value) 4*sqrt(2) units

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0alright that makes sense
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