O-LevelAdditional MathematicsTrigonometry4037/12 · Oct/Nov 2020 · Q35 Marks
Write down the amplitude of 2 cos x/3 - 1.
- (a)Write down the amplitude of 2 cos x/3 - 1.[1]
- (b)Write down the period of 2 cos x/3 - 1.[1]
- (c)On the axes below, sketch the graph of y = 2cos3-1 for -π≤x≤ 3π radians.[3]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.
- B1 for 2
- B1 for 6π or 1080°
- B1 for passing through (−π, 0) and (3π, – 3) – must be a curve
- B1 for correct shape with max on y-axis and a min at x = 3π
- B1 for passing through (0, 1) and (π, 0) only on the positive x-axis
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