Problem

Problem

If the points (4,7)(4, 7) and (cos⁡θ,sin⁡θ)(\cos \theta, \sin \theta) , where 0<θ<π0 < \theta < \pi , lie on the same side of the line x+y−1=0x + y - 1 = 0 , then prove that θ\theta lies in the first quadrant.

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