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Alycia Zemlak

Feb 20, 2025

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

Help me with this problem pleaseeee. The answer choices given are: 1)(5 sqrt2 , 315°), (-5 sqrt2 , 135°)2)(5 sqrt2 , 45°), (-5 sqrt2 , 225°)3)(5 sqrt2 , 135°), (-5 sqrt2 , 315°)4)(5 sqrt2 , 225°), (-5 sqrt2, 45°)
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Since the point lies in the third quadrant cos(θ) = x/r where r^2 =x^2+y^2 =5^2(-5)^2 =25+25 = 50 , r = sqrt(50) =5sqrt(2)cos(θ) = x/r =5/5sqrt(2) =1/sqrt(2) = cos(135)Hence answer is =(5 sqrt2 , 315°), (-5 sqrt2 , 315°)……………….Ans... Show More
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P
option 1)(5 sqrt2 , 315°), (-5 sqrt2 , 135°) is correct :)>... Show More
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