O-LevelAdditional MathematicsTrigonometry4037/12 · May/June 2018 · Q14 Marks
It is given that y = 1+tan3x.
- (i)State the period of y.[1]
- (ii)On the axes below, sketch the graph of y = 1+tan3x for 0° ≤ x° ≤ 180°.[3]
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Mark scheme
Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.
- B1 π/3 or 60°
- B1 for 3 asymptotes at x =30°, 90° and 150°; the curve must approach but not cross all 3 of the asymptotes and be in the 1st and 4th quadrants
- B1 for starting at (0,1) and finishing at (180,1)
- B1 for all correct
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