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Gresty Academy Paper 1 · Q20

Paper 1TrigonometryGeometryFunctions & graphs

Given that:

  • θ\theta is an angle of a triangle
  • cos⁡(θ)=−12+ba\cos(\theta)=-\frac12+\frac ba
  • a<ba<b
  • ab<0ab<0

then the range of possible values of θ\theta is

Aπ3≤θ<π\frac\pi3\leq\theta<\pi
Bπ3<θ≤π\frac\pi3<\theta\leq\pi
Cπ3<θ<π\frac\pi3<\theta<\pi
D2π3≤θ<π\frac{2\pi}{3}\leq\theta<\pi
E2π3<θ<π\frac{2\pi}{3}<\theta<\pi

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