If α∈ (0, π) and cos α + sin α = - 13, then Cos2 α = () A. 179B. ±179C. −179D. 173

If α∈ (0, π) and cos α + sin α = - 13, then Cos2 α = () A. 179B. ±179C. −179D. 173

(COS α + sin α) 2 = 19, sin α cos α = - 49, and sin α & gt; 0, cos α & lt; 0cos α - sin α = - (COS α + sin α) 2 − 4sin α, cos α = - 173, Cos2 α = Cos2 α - sin2 α = (COS α + sin α) (COS α - sin α) = - 13 × (− 173) = 179, so a