Question: a. Show that the equation tan 2 x 2 tan x 6 = 0 can be written as tan x = p +

a. Show that the equation tan2 x − 2 tan x − 6 = 0 can be written as tan x = p + √q where p and q are numbers to be found.

b. Hence solve, for 0 ≤ x ≤ 3π, the equation tan2 x − 2 tan x − 6 = 0 giving your answers to 1 decimal place where appropriate.

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