June 2025 Paper 1 Q7
7 Here is a sketch of \(\quad y = \tan x \quad\) for \(\quad 0^\circ \leqslant x \leqslant 360^\circ\)
You are given that \(\quad \tan 72^\circ = k\)
Work out the two values of \(x\) between \(0^\circ\) and \(360^\circ\) for which \(\quad \tan x = -k\) [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(108^\circ\) or \(288^\circ\) | M1 | can be scored in the working |
| \(108^\circ\) and \(288^\circ\) | A1 | SC1 \(\tan 108^\circ\) and \(\tan 288^\circ\) |
Additional guidance
| Values outside the range that are correct should not be penalised (as long as correct answers are also given on the answer line) | M1 A1 |
| Incorrect values outside the range written on answer line maximum mark | M1 |
| Condone missing degrees sign |