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Question
Find the cartesian co-ordinates of the point whose polar co-ordinates are `(1/2, π/3)`.
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Solution
Here, r = `1/2` and θ = `π/3`
Let the cartesian coordinates be (x, y).
Then, x = r cos θ = `1/2 cos π/3 = 1/2 xx 1/2 = 1/4`
And y = r sin θ = `1/2 sin π/3 = 1/2 xx sqrt(3)/2 = sqrt(3)/4`
∴ The cartesian coordinates of the given point are `(1/4, sqrt(3)/4)`.
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