Given sin α + cos α = 15, (0 < α < π), the value of Tan α is obtained

Because sin α + cos α = 15, then (sin α + cos α) 2 = 125  2Sin α cos α = sin 2 α = - 2425 & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; and ∵ 0 ＜ α ＜ π ∵ 3 π 4 ＜ α ＜ π, then 3 π 2 ＜ 2 α ＜ 2 π, that is, Cos2 α = 1-sin ′ 22 α = 725  Tan α = sin 2 α 1 + Cos2 α = - 34, so the value of Tan α is - 34

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