O-LevelAdditional MathematicsTrigonometry4037/22 · May/June 2021 · Q55 Marks
The function f is defined, for 0° ≤ x ≤ 810°, by f(x)=-2+cos(2x/3).
- (a)Write down the amplitude of f.[1]
- (b)Find the period of f.[2]
- (c)On the axes, sketch the graph of y = f(x).[2]
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Mark scheme
Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.
- (a) B1 1
- (b) M1 360 ÷ (2/3) oe
- (b) A1 540
- (c) B2 B1 for correct cosine shape from (0, -1) with amplitude 1 for 0° ≤ x ≤ 810°
- (c) B1 for attempt at correct cosine shape with period 540° for 0° ≤ x ≤ 810°
- (c) If 0 scored, SC1 for a fully correct graph for 0° ≤ x ≤ 540°
- (c) Maximum of 1 mark if not fully correct.
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