Given Tan α = 2, find the value of Sin & sup2; α + 2Sin α cos α + 2?

From Tana = 2, we get that sina = 2cosa cosa = (1 / 2) xsina is combined with Sin & sup2; a + cos & sup2; a = 1 = = > Sin & sup2; a + 1 / 4 (Sin & sup2; a) = 1 = = > Sin & sup2; a = 4 / 5sin & sup2; a + 2Sin α cosa + 2 = Sin & sup2; a + 2Sin α x (1 / 2) xsina + 2 = Sin & sup2; a + Sin & sup2; a + 2 = 2Sin

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