If 8 tan x = 15, then sin x - cos x is equal to

Given,


8 tan x = 15


So,


tan x = 15/8


In ∆ ABC,


AC2 = AB2 + BC2


AC2 = (15)2 + (8)2


AC2 = 225 + 64 = 289


AC = 17


Therefore,


sin x = AB/AC = 15/17


cos x = BC/AC = 8/17


Now,



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