It is known that Tan α and Tan (π 4 - α) are two roots of the equation AX2 + BX + C = 0, then the relation of a, B and C is () A. b=a+cB. 2b=a+cC. c=b+aD. c=ab

It is known that Tan α and Tan (π 4 - α) are two roots of the equation AX2 + BX + C = 0, then the relation of a, B and C is () A. b=a+cB. 2b=a+cC. c=b+aD. c=ab

Tan α + Tan (π 4 − α) = - BA, Tan α Tan (π 4 − α) = Ca  Tan π 4 = Tan (α + π 4 - α) = Tan α + Tan (π 4 − α) 1 − Tan α Tan (π 4 − α) = − BA1 − CA = 1. ■ - BA = 1-ca. ■ - B = a-c. ｜ C = a + B

It is known that Tan X and Tan (pi-4-x) are two of the equations ax ^ 2 + BX + C = 0, then the relationship between a, B and C is

It is known that TaNx and Tan (π / 4-x) are two of the equations ax & # 178; + BX + C = 0, then the relation of a, B and C is TaNx + Tan (π / 4-x) = TaNx + (1-tanx) / (1 + TaNx) = (1 + Tan & # 178; x) / (1 + TaNx) = - B / A. (1) tanxtan (π / 4-x) = TaNx (1-tanx) / (1 + TaNx) = C / A. (2) (1) + (2) and (C-B) / a = (1