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Euclid R2Drew2 Edition Paper 1 · Q15

Paper 1Trigonometry

What is the sum of all values of θ\theta satisfying

0≤θ<2π0\leq\theta<2\pi

and

∣sin⁡θ∣+∣cos⁡θ∣=1+32?|\sin\theta|+|\cos\theta|=\frac{1+\sqrt3}{2}?
A4π4\pi
B6π6\pi
C8π8\pi
D10π10\pi
E12π12\pi
F14π14\pi

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