O-LevelAdditional MathematicsTrigonometry4037/11 · May/June 2019 · Q25 Marks
Write down the amplitude of 4 sin 3x-1.
- (i)Write down the amplitude of 4 sin 3x-1.[1]
- (ii)Write down the period of 4 sin 3x-1.[1]
- (iii)On the axes below, sketch the graph of y = 4 sin 3x-1 for -90° ≤ x° ≤ 90°.[3]
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Mark scheme
Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.
- [B1] 4
- [B1] 120° or 2π/3
- [B1] a complete curve starting at (−90°, 3) and finishing at (90°, −5)
- [B1] for -5≤ y ≤ 3 for a complete curve Minimum point(s) at y = -5 Maximum point(s) at y = 3
- [DepB1] for a fully correct sine curve satisfying both the above and passing through (-60°, -1), (0°, -1) and (60°, -1)
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