O-LevelAdditional MathematicsTrigonometry4037/12 · May/June 2020 · Q107 Marks
Solve tan 3x = -1 for -π/2 ≤ x ≤ π/2 radians, giving your answers in terms of π.
- (a)Solve tan 3x = -1 for -π/2 ≤ x ≤ π/2 radians, giving your answers in terms of π.[4]
- (b)Use your answers to part (a) to sketch the graph of y = 4 tan 3x + 4 for -π/2 ≤ x ≤ π/2 radians on the axes below. Show the coordinates of the points where the curve meets the axes.[3]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.
- [1] For a correct attempt to solve, may be implied by one correct solution
- [1] x = -5π/12
- [1] x = -π/12
- [1] x = π/4
- [1] Shape - must have three 'parts' with asymptotes
- [1] For correct x-coordinates
- [1] For correct y-coordinate
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