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If cosec θ = √10, the find the values of all T-ratios of θ. If cosec θ = √10, the find the values of all T-ratios of θ.
Dear StudentGiven function: cosecθ = √10Draw a right ∆ABC,∠C = 90 degrees and∠A = θWe know that, cosecθ = hypotenuse/perpendicular= (k√10)/kwhere k is a positive integerBy Pythagoras Theorem:AC^2 = AB^2 + BC^2= 10k^2 + k^2 = 9k^2AC = 3kFind other T-rations using their definitions:Sin𝜃= BC/AB = 1/√10cos𝜃= AC/AB = (3k)/(k√10) = 3/√10tan θ = BC/AC = sinθ /cosθ = 1/3secθ = AB/AC = 1/cosθ = √10/3cotθ = AC/BC = 1/tanθ = 3Thanks
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