Higher June 2019 Unit 2 Q16
16.
(a) Sketch the curve \(y = \sin x\) on the axes below.
You must indicate any important values on the \(y\)-axis. [2]
You must indicate any important values on the \(y\)-axis. [2]
(b) Solve the equation \(\sin x = -0{\cdotp}5\).
Give all answers in the range \(x\) = –180° to \(x\) = 180°. [2]
Give all answers in the range \(x\) = –180° to \(x\) = 180°. [2]
| Scheme | Marks | Comments |
|---|---|---|
| General sine curve with appropriate orientation and position. | M1 | Ignore curve shown for values x< -180° or x> 180°. |
| -1 and 1 indicated on the y-axis, curve passes through (-180°,0), (0°,0) and (180°,0) and approximately (-90°,-1) and (90°,1). | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| -30(°) AND -150(°) | B2 | Accept embedded answers. Penalise further incorrect answer(s) -1. Ignore further answer(s) outside of the range. Award B1 for sight of an answer -30(°) or -150(°) (but not for sight of -30 as part of working). |