Given Tan ^ 2A = 2tan ^ 2B + 1, what is cos2a + sin ^ 2B? Write out the whole operation process

Given Tan ^ 2A = 2tan ^ 2B + 1, what is cos2a + sin ^ 2B? Write out the whole operation process

1) Tana = 2tanb + 1, then Tana + 1 = 2 (tanb + 1) so SecA = 2secb, that is, 2cosa = CoSb, that is, 1-2cosa = 1-cosb, cos2a + SINB = 0