anonymous
  • anonymous
Medal + Fan help please! Determine two pairs of polar coordinates for the point (4, -4) with 0° ≤ θ < 360°
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
well what is the angle that point makes with the x axis: use arctan(y/x)
anonymous
  • anonymous
then what?
anonymous
  • anonymous
well if you do that you find its -45o then you can use the distance formula to find the distance the point is from the origin

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anonymous
  • anonymous
right i got -45 what's the distance formula?
anonymous
  • anonymous
is it these? x = radius×cos(theta) y = radius×sin(theta)
anonymous
  • anonymous
for this it will be d = sqrt(x^2+y^2)
anonymous
  • anonymous
ok so that equals 0 @Brandon77
anonymous
  • anonymous
no d = sqrt( (4)^2 + (-4)^2 ) = sqrt ( 16 + 16 ) = sqrt(32)
anonymous
  • anonymous
oops my bad put it into calc wrong. what next?
anonymous
  • anonymous
so one coordinate can be (sqrt(32),-45o)
anonymous
  • anonymous
how would we find the other one?
anonymous
  • anonymous
if you have a negative radius then it basically mirrors you line. so if the radius is -sqrt(32) then you can add 180o to your angle and get back to the same line
anonymous
  • anonymous
Thanks a lot!
anonymous
  • anonymous
no problem. :)
anonymous
  • anonymous
just to make sure it should be (-sqrt(32),135o)
anonymous
  • anonymous
45+180=225 @Brandon77 ?
anonymous
  • anonymous
but its -45 + 180

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