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Prove. For any angle θ,


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Proof. Consider the unit circle shown in Fig. 1. The angle θ, in radians, is equal to the distance along the circumference from point A to point P (i.e. it is equal to the length of the arc AP) and sin θ is equal to the perpendicular distance PQ. Obviously then, for all θ, PQ < AP. Consequently,


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