O-LevelAdditional MathematicsTrigonometry4037/11 · May/June 2018 · Q47 Marks
The curve y = a + b sin cx has an amplitude of 4 and a period of π/3. Given that the curve passes through the point (π/12, 2), find the value of each of the constants a, b and c.
- (i)The curve y = a + b sin cx has an amplitude of 4 and a period of π/3. Given that the curve passes through the point (π/12, 2), find the value of each of the constants a, b and c.[4]
- (ii)Using your values of a, b and c, sketch the graph of y = a + b sin cx for 0 ≤ x ≤ π radians. [Figure 4.1][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 (May/June 2018). The mark or mark type is shown in brackets.
- [B1] b=4
- [B1] c=6
- [M1] Evaluation of a using their b and their c and the given point.
- [A1] a=-2
- [B1] for -6≤ y ≤2
- [B1] for 3 complete cycles
- [B1] for all correct
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