Mathematics 9709 · AS & A Level · Numerical solution of equations

Numerical solution of equations — practice question

The curve is given by $y = \tan\left(\tfrac{1}{2}x\right) + 3\sin\left(\tfrac{1}{2}x\right)$. It has a stationary point $M$ for values of $x$ in the range $\pi < x < 2\pi$.
(main)[6]

State the coordinates of $M$, with each coordinate correct to $3$ significant figures.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Differentiate to get an expression in the form $k_1\sec^2\frac{1}{2}x + k_2\cos\frac{1}{2}x$

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