Higher November 2021 Unit 1 Q17
17. The following diagram shows a sketch of \(y = \sin x\) for values of \(x\) from 0° to 360°.

Given that \(\sin 38^\circ = 0{\cdot}6157\), correct to 4 decimal places, write down all the solutions of the equation
\(\sin x = -\,0{\cdot}6157\)
for values of \(x\) from 0° to 360°. [2]
| Scheme | Marks | Comments |
|---|---|---|
| 218° and 322° with no other values | B2 | B1 for either angle. Check diagram. Ignore extra (correct or incorrect) values outside the required range. Penalise -1 for each extra value within range (beyond 2 attempts). If no marks, SC1 for accurate evaluations from consistent use of 180+n AND 360-n (with n acute). Method must be seen for this mark. |