(i)[4]
Prove that $\tan(45^\circ + x) + \tan(45^\circ - x) = 2\sec 2x$.
(ii)[3]
Hence, sketch the graph of $y = \tan(45^\circ + x) + \tan(45^\circ - x)$ over $0^\circ \leq x \leq 90^\circ$.
Mathematics 9709 · AS & A Level · Trigonometry
Trigonometry — practice question
Worked solution & mark scheme
This 7-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 rewrite the LHS in terms of $\tan x$” …
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