A-LevelMathematicsTrigonometry9709/12 · May/June 2010 · Q14 Marks
(i) Show that the equation 3(2 sin x − cos x) = 2(sin x – 3 cos x) can be written in the form tan x = -¾. (ii) Solve the equation 3(2 sin x − cos x) = 2(sin x − 3 cos x), for 0° ≤ x ≤ 360°.
- (i)Show that the equation 3(2 sin x − cos x) = 2(sin x – 3 cos x) can be written in the form tan x = -¾.[2]
- (ii)Solve the equation 3(2 sin x − cos x) = 2(sin x − 3 cos x), for 0° ≤ x ≤ 360°.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2010). The mark or mark type is shown in brackets.
- [M1] Expanding, collecting, use of t = s ÷ c
- [A1] Answer given. All correct.
- [B1] co
- [B1√] For 180 + first answer.
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