O-LevelAdditional MathematicsTrigonometry4037/21 · May/June 2012 · Q35 Marks
The diagram shows a sketch of the curve y = asin(bx) + c for 0° ≤ x ≤ 180°. Find the values of a, b and c.
- (a)The diagram shows a sketch of the curve y = asin(bx) + c for 0° ≤ x ≤ 180°. Find the values of a, b and c.[3]
- (b)Given that f(x) = 5cos3x + 1, for all x, state
- (b)(i)the period of f,[1]
- (b)(ii)the amplitude of f.[1]
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Mark scheme
Marking points from the official mark scheme (May/June 2012). The mark or mark type is shown in brackets.
- [3] (a) a = 3, b = 8, c = 7
- [1] (b)(i) 2π/3 or 120
- [1] (b)(ii) 5
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