O-LevelAdditional MathematicsTrigonometry4037/12 · May/June 2010 · Q66 Marks
On the same diagram, sketch the curves y = cosx and y=1+cos2x for 0≤x≤2π.
- (a)(i)On the same diagram, sketch the curves y = cosx and y=1+cos2x for 0≤x≤2π.[3]
- (a)(ii)Hence state the number of solutions of the equation cos 2x cosx+1=0 where 0 ≤ x ≤ 2π.[1]
- (b)(i)the amplitude of f,[1]
- (b)(ii)the period of f.[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 (May/June 2010). The mark or mark type is shown in brackets.
- B1 for y = cos x
- B1 for either a translation of cycles
- B1 for correct curve
- B1
- B1
- B1
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