O-LevelAdditional MathematicsTrigonometry4037/11 · May/June 2015 · Q16 Marks
State the period of sin 2x.
- (i)State the period of sin 2x.[1]
- (ii)State the amplitude of 1 + 2cos3x.[1]
- (iii)(a)On the axes below, sketch the graph of y = sin 2x for 0° ≤ x ≤ 180°,[1]
- (iii)(b)On the axes below, sketch the graph of y = 1+2 cos 3x for 0° ≤ x ≤ 180°.[2]
- (iv)State the number of solutions of sin 2x – 2 cos 3x = 1 for 0° ≤ x ≤ 180°.[1]
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Mark scheme
Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.
- [B1] 180° or π radians or 3.14 radians ( or better)
- [B1] 2
- [B1] y = sin 2x all correct
- [B1] for either ↑↓↑starting at their highest value and ending at their lowest value Or a curve with highest value at y = 3 and lowest value at y = −1
- [B1] completely correct graph
- [B1] 3
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