The cartesian coordinates of the point (1,π/4) are (√2/2,√2/2). The point lies on the unit circle, the first quadrant's bisectrix. To find the coordinates, apply the conversion from polar to cartesian system:
x = r × cos(θ) = 1 × cos(π/4) = √2/2; and
y = r × sin(θ) = 1 × sin(π/4) = √2/2.
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