O-LevelAdditional MathematicsTrigonometry4037/11 · Oct/Nov 2010 · Q77 Marks
(a) Sets A and B are such that A = {x : sin x = 0.5 for 0° ≤ x ≤ 360°}, B = {x : cos (x − 30°) = − 0.5 for 0° ≤ x ≤ 360°}. Find the elements of
- (a)(i)A,[2]
- (a)(ii)A ∪ B.[2]
- (b)Set C is such that C = {x : sec² 3x = 1 for 0° ≤ x ≤ 180°}. Find n(C).[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2010). The mark or mark type is shown in brackets.
- B1, B1 B1 for each
- B1 B1 for x = 150°, 270° only
- √ B1 Follow through on their A and B
- M1 M1 for dealing with sec and 3x
- A1 A1 for all solutions correct
- √ B1 Follow through on their number of solutions
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