Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

(i)[4]

Prove that $\tan(45^\circ + x) + \tan(45^\circ - x) = 2\sec 2x$.

(ii)[3]

Hence sketch $y = \tan(45^\circ + x) + \tan(45^\circ - x)$ for $0^\circ \leq x \leq 90^\circ$.

(c(ii))[3]

Hence sketch $y = \tan(45^\circ + x) + \tan(45^\circ - x)$ for $0^\circ \leq x \leq 90^\circ$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply the correct $\tan(A \pm B)$ formula and write the LHS in terms of $\tan x$

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