O-LevelAdditional MathematicsTrigonometry4037/21 · May/June 2021 · Q45 Marks
The graph of y=a+2tanbx, where a and b are constants, passes through the point (0, -4) and has period 480°.
- (a)Find the value of a and of b.[3]
- (b)On the axes, sketch the graph of y for values of x between 0° and 480°.[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.
- [B1] a = -4
- [M1] 480 = 180/b oe
- [A1] b = 3/8
- [B2] Correct sketch (correct tan shape, two branches starting and finishing on same negative y value, asymptote implied at x = 240, root between 120 and 240)
- [B1] for correct tan shape with exactly two branches plus one other correct property
- [B1] Maximum B1 if not fully correct
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