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Question

Lay down the positions of the points whose polar coordinates are (2a,2π3)

Solution
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Polar co-ordinates are (2a,2π3)
Then, r=2a and θ=2π3
x=rcosθ=(2a)cos2π3=a

x=rsinθ=(2a)sin2π3=3a.
Thus, the Cartesian co-ordinates are (a,3a).

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