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If sin θ = √3/2, find the value of all T-ratios of θ.
Dear StudentGiven function: sin θ = √3/2We know that sin𝜃= BC/AC = (Perpendicular)/Hypotenuse =√3/2By Pythagoras Theorem:AC^2 = AB^2 + BC^2AB^2 = AC^2 - BC^2= 4k^2–3k^2= k^2AB = kFind other T-ratios using their definitions:Cos 𝜃= AB/AC = 1/2Tan𝜃= BC/𝐴𝐵= √3𝑐𝑜𝑠𝑒𝑐 𝜃= 1/sin𝜃= 2/√3sec𝜃= 1/cos𝜃= 2cot𝜃= 1/tan𝜃= 1/√3Thanks
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