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

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

wampominater
 one year ago
Best ResponseYou've already chosen the best response.1alright, 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

wampominater
 one year ago
Best ResponseYou've already chosen the best response.1oh 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 \(\Large \frac{\sqrt{2}}{2}\)

wampominater
 one year ago
Best ResponseYou've already chosen the best response.1ok so the first polar coordinate would be \[\left( 4\sqrt{2} , 315\right)\]

wampominater
 one year ago
Best ResponseYou've already chosen the best response.1how 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

wampominater
 one year ago
Best ResponseYou've already chosen the best response.1so 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 \(\Large \left( 4\sqrt{2} , 135\right)\)

wampominater
 one year ago
Best ResponseYou've already chosen the best response.1ah 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

wampominater
 one year ago
Best ResponseYou've already chosen the best response.1alright that makes sense
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