Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

(a)[4]

Solve the equation $3\tan^2 x - 5\tan x - 2 = 0$ in the interval $0^\circ \leq x \leq 180^\circ$.

(b)[2]

Find the values of $k$ for which $3\tan^2 x - 5\tan x + k = 0$ has no solutions.

(c)[3]

For $3\tan^2 x - 5\tan x + k = 0$, state the value of $k$ that gives three solutions in the interval $0^\circ \leq x \leq 180^\circ$, and find those solutions.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Treats the equation as a quadratic in $\tan x$

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