(a)[3]
If $\tan A = t$ and $\tan(A + B) = 4$, determine $\tan B$ in terms of $t$.
(b)[6]
Solve the equation $2\tan(45^\circ - x) = 3\tan x$, giving every solution in the interval $0^\circ \le x \le 360^\circ$.
Mathematics 9709 · AS & A Level · Trigonometry
Trigonometry — practice question
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply the $\tan(A+B)$ formula to produce an equation involving $B$” …
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