O-LevelAdditional MathematicsTrigonometry4037/12 · Oct/Nov 2014 · Q25 Marks
On the axes below, sketch the curve y = 3 cos 2x-1 for 0° ≤ x ≤ 180°.
- (a)On the axes below, sketch the curve y = 3 cos 2x-1 for 0° ≤ x ≤ 180°.[3]
- (b)(i)State the amplitude of 1 - 4 sin 2x.[1]
- (b)(ii)State the period of 5 tan 3x + 1.[1]
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 2014). The mark or mark type is shown in brackets.
- [1] B1 for correct shape
- [1] B1 for max value of 2, starting at (0, 2) and finishing at (180°, 2)
- [1] B1 for min value of -4
- [1] B1 4 must be positive
- [1] B1 60° or π/3 or 1.05 rad
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