A-LevelMathematicsTrigonometry9709/31 · May/June 2018 · Q26 Marks
Given that sin(x – 60°) = 3 cos(x – 45°), find the exact value of tan x.
- (i)Given that sin(x – 60°) = 3 cos(x – 45°), find the exact value of tan x.[4]
- (ii)Hence solve the equation sin(x − 60°) = 3 cos(x – 45°), for 0° < x < 360°.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.
- [M1*] Use trig formulae and obtain an equation in sin x and cos x
- [A1] Obtain a correct equation in any form
- [M1(dep*)] Substitute exact trig ratios and obtain an expression for tan x
- [A1] Obtain answer tan x = -(6+√6)/(6-√2) or equivalent
- [B1] State answer, e.g. 118.5°
- [B1ft] State second answer, e.g. 298.5°
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