O-LevelAdditional MathematicsTrigonometry4037/12 · May/June 2013 · Q33 Marks
Show that (1 – cos θ – sin θ)² – 2(1 – sin θ)(1 – cos θ) = 0.
- Show that (1 – cos θ – sin θ)² – 2(1 – sin θ)(1 – cos θ) = 0.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2013). The mark or mark type is shown in brackets.
- [1] 1 – 2sinθ – 2cosθ + sin²θ + cos²θ + 2sinθcosθ B1
- [1] Use of sin²θ + cos²θ = 1 in simplification = 0 M1
- [1] A1 must be convinced as AG
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