harrislui321
harrislui321 harrislui321
  • 10-02-2021
  • Mathematics
contestada

Determine two pairs of polar coordinates for the point (5, -5) with 0° ≤ θ < 360°

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surjithayer10 surjithayer10
  • 10-02-2021

Answer:

Step-by-step explanation:

x=5

y=-5

Hence it lies in 4th quadrant.

x=r cos θ

5=r cos θ  ...(1)

y=r sin θ

-5 =r sin θ  ... (2)

square and add

(5)²+(-5)²=r²(sin ²θ  +cos ²θ  )

r²=25+25=50

r=±5√2

dividing

tan θ=-5/5=-1=-tan 45°=tan (180-45),tan(360-45)

θ=135°,315°

so polar coordinates are (5√2,315°) and (-5√2,135°)

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kjb858fvj8
kjb858fvj8 kjb858fvj8
  • 10-02-2021
X=5 Y=-5 is the answer I think?
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