Question: i) Show that the equation 2 tan x = cos x can be written as a quadratic equation in sin x. ii) Solve the equation

i) Show that the equation 2 tan x = cos x can be written as a quadratic equation in sin x.

ii) Solve the equation 2 tan x = cos x for 0° ≤ x ≤ 180°.

iii) Hence, state the set of values of x for
which 2 tan (x − 30°) = cos (x − 30°) for
0° ≤ x ≤ 180°.

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