Question

Find the possible values of tan x, if cos2x + 5 sin x. cos x = 3.​

Answer 1

2Cosx^2 -1+ 5SinxCosx = 3

2Cosx^2 + 5SinxCosx = 4(Cosx^2 +Sinx^2)

2Cosx^2 - 5SinxCosx + 4Sinx^2 = 0

4tanx^2 - 5tanx +2 =0

roots are answer

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