The curves C₁ and C₂ have polar equations C₁: r = 1/√2, for 0 < θ < 2π, C₂: r = √(sin10), for 0 ≤ θ≤ π. Find the polar coordinates of the point of intersection of C₁ and C₂. Sketch C₁ and C₂ on the same diagram. Find the exact value of the area of the region enclosed by C1, C2 and the half-line θ = 0.
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