Higher November 2023 Unit 1 Q19
19. The following diagram shows a sketch of \(y = \tan x\) for values of \(x\) from 0° to 360°.

Given that \(\tan 71^\circ = 2{\cdot}9042\), correct to 4 decimal places, write down all the solutions of the equation
\[\tan x = -2{\cdot}9042\]
for values of \(x\) from 0° to 360°. [2]
| Scheme | Marks | Comments |
|---|---|---|
| 109° and 289° with no other values | B2 | Check diagram. B1 for either angle. Allow embedded answers. Ignore extra (correct or incorrect) values outside the required range. Penalise –1 for each extra value within range (beyond 2 attempts). If no marks, award SC1 for sight of 180–71 AND 360–71 (or equivalent). |