6) Let / be a Poincare line and let P be a point not on 1. Drop a perpendicular from P to 1. Let Q be the foot of this perpendicular. Let A and B be two points on / on opposite sides of Q. Let the 1 hyperbolic distance from P to Q be d. Taking the hyperbolic constant, k, to be equal to 1, prove that the measure of angle APB must be less than 4-arctan arctan(ed).

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Q: Let l be a Poincare line and let P be a point not on l. Drop a perpendicular from P to l. Let Q be…

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A: Given: a, r ∈ℝ+ γ1, γ2 : ℝ→ℝ2 such that, γ1(t) =(rcos(at), rsin(at)) γ2(t) = (rcos(-at), rsin(-at))…

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A: We know that,

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Q: 1. For an angle to be in standard position, which of the following conditions MUST be satisfied? i.…

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A: Answer: The solution is given below: