Answer:
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°)