O-LevelAdditional MathematicsTrigonometry4037/12 · Oct/Nov 2023 · Q25 Marks
The function g is defined by g(x) = 5 sin(3x/4) - 2 for all values of x.
- (a)Write down the amplitude of g.[1]
- (b)Write down the period of g in degrees.[1]
- (c)On the axes, sketch the graph of y = g(x), for -180° ≤ x ≤ 180°.[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.
- [1] (a) B1
- [1] (b) B1
- [3] (c) B1 for the shape, starting in the 3rd quadrant and ending in the 1st quadrant. Must cross the x-axis only once, between 0° and 60°. Must extend for the complete domain starting with -6 < y < -5 and ending with 1 < y < 2
- [3] (c) B1 for passing through(0, -2)
- [3] (c) B1 for passing though (120°, 3) and (−120°, -7) soi
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