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If cot θ = 2, find the value of all T-ratios of θ. find If cot θ = 2, find the value of all T-ratios of θ.find
Dear StudentGiven function: cot θ= 2We know that cot θ = base/perpendicular = 2/1where k is a positiveBy Pythagoras Theorem:AB^2 = BC^2 + AC^2= k^2 + 4k^2= 5k^2AB = k√5Find other T-rations using their definitions:Sin𝜃 = k/(k√5) = 1/√5cos𝜃 = (2k)/(k√5) = 2/√5tan θ = sinθ /cosθ = k/(2k) = 1/2cosec 𝜃= 1/sin𝜃= √5sec𝜃= 1/cos𝜃= √5/2Thanks
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