A-LevelMathematicsTrigonometry9709/32 · Oct/Nov 2018 · Q24 Marks
Showing all necessary working, solve the equation sin(θ – 30°) + cos θ = 2 sin θ, for 0° < θ < 180°.
- Showing all necessary working, solve the equation sin(θ – 30°) + cos θ = 2 sin θ, for 0° < θ < 180°.[4]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.
- [M1*] Use trig formula and obtain an equation in sine and cosθ
- [M1(dep*)] Obtain an equation in tanθ
- [A1] Obtain tanθ = 1/(4-√3), or equivalent
- [A1] Obtain final answer θ = 23.8° and no others in range
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