anonymous
  • anonymous
Determine two pairs of polar coordinates for the point (2, -2) with 0° ≤ θ < 360°. (2 , 225°), (-2 , 45°) (2 , 135°), (-2 , 315°) (2 , 315°), (-2 , 135°) (2 , 45°), (-2 , 225°)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@phi
anonymous
  • anonymous
@.Sam.
phi
  • phi
plot the point (2,-2) and draw the line segment from (0,0) to (2,-2) what is the length of the line and what is its angle ?

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anonymous
  • anonymous
kk one sec
anonymous
  • anonymous
how do u find the angle
phi
  • phi
|dw:1371143570904:dw|
phi
  • phi
you should learn about 45-45-90 degree triangles
anonymous
  • anonymous
2 sqrt(2) thats legnth
anonymous
  • anonymous
so the answer is (2 , sqrt(2) 45°), (-2sqrt(2) , 225°)
phi
  • phi
the angle is measured starting at the x-axis and going counter clockwise (see picture) so the angle is not 45 degrees (it is -45 meaning go clockwise) but generally people write it as between 0 and 360.... notice it is almost all the way around the circle
anonymous
  • anonymous
so the answer is (2 , sqrt(2) 225°), (-2sqrt(2) , 45°)
phi
  • phi
if you go all the way round, you go 360º but you don't go *all* the way round
phi
  • phi
you stop 45 degrees short of going all the way around
phi
  • phi
you should know these angles: |dw:1371144133593:dw|
phi
  • phi
notice 180 degrees points in the opposite direction... that is why people sometimes say a U-turn means "doing a 180"
anonymous
  • anonymous
(2 , sqrt(2) , 315°), (-2 , sqrt(2) , 135°)

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