15) Find the polar co-ordinates of points whose
Cartesian co-ordinates are
iv) (-√3,1)
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2
Answer:
MATHS
The polar coordinates of the point whose cartesian co-ordinates are (−1,−1) is:
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ANSWER
Rectangular to polar coordinate, (x,y)⟶(r,θ)
radius,r can be found by using , r=
x
2
+y
2
r=
(−1)
2
+(−1)
2
=
2
θ can be found using the reference angle:tanθ=
x
y
tanθ=
−1
−1
⟹tanθ=1⟹θ=tan
−1
1=
θ=
4
−3π
As the point (-1-1) lies at Quadrant
iii)i.e, θ=
4
−3π
From (r,θ)=(
2
,
4
−3π
)
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