O-LevelAdditional MathematicsTrigonometry4037/12 · Oct/Nov 2013 · Q44 Marks
The sets A and B are such that A = {x: cos x = 1/2, 0° ≤ x ≤ 620°}, B = {x: tan x = √3, 0° ≤ x ≤ 620°}.
- (i)Find n(A).[1]
- (ii)Find n(B).[1]
- (iii)Find the elements of A U B.[1]
- (iv)Find the elements of A ∩ B.[1]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2013). The mark or mark type is shown in brackets.
- [B1] (i) n (A) = 3
- [B1] If elements listed for (i), then they must be correct elements to get B1 leading to n (A) = 3. If they are not listed and correct answer given then B1.
- [B1] (ii) n (B) = 4
- [B1] If elements listed for (ii), then they must be correct elements leading to n (B) = 4 to get B1. If they are not listed and correct answer given then B1.
- [√B1] (iii) A ∪ B = {60°, 240°, 300, 420°, 600°}
- [√B1] Follow through on any sets listed in (i) and (ii). Do not allow any repetitions.
- [√B1] (iv) A ∩ B = {60°, 420°}
- [√B1] Follow through on any sets listed in (i) and (ii).
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