If 8tanx=5 then find the value of sinx-cosx

1.	If 8tanx=5 then find the value of sinx-cosx
Answer» Tan x = 15/8Height =15Adjacent = 8Hypotenuse =17Sin = 15/17Cos = 8/17Sinx - cosx = 15/17 - 8/17= 15-8/17=7/17 8tanx°=5 Tanx=5/8=perpendicular/base Hypotnuse=√89 Sinx-cosx=5/√89-8/√89=-3/√89

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