15) Find the polar co-ordinates of points whose Cartesian co-ordinates are iv) (-√3,1) Question 15) Find the polar co-ordinates of points whoseCartesian co-ordinates areiv) (-√3,1) in progress 0 Math Charlie 1 month 2021-08-14T04:04:34+00:00 2021-08-14T04:04:34+00:00 2 Answers 0 views 0

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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

)