O-LevelAdditional MathematicsTrigonometry4037/11 · May/June 2011 · Q13 Marks
Show that (1 / (1 - cosθ)) + (1 / (1 + cosθ)) = 2cosec²θ.
- (a)Show that (1 / (1 - cosθ)) + (1 / (1 + cosθ)) = 2cosec²θ.[3]
Mark scheme
Marking points from the official mark scheme (May/June 2011). The mark or mark type is shown in brackets.
- [1] M1 for attempt to deal with fraction (1+cosθ)+(1-cosθ) / (1+cosθ)(1-cosθ)
- [1] M1 for attempt at simplification and use of 1-cos²θ = sin²θ in denominator 2 / (1-cos²θ) = 2 / sin²θ
- [1] A1 = 2cosec²θ
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