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Gerard Sayson TMUA Mock Paper 1 · Q12

Paper 1TrigonometryFunctions & graphs

Find the total length of the intervals in the range 0≤x≤4π0\le x\le4\pi for which

(sin⁡x−cos⁡x)(2cos⁡x−1)≥0.(\sin x-\cos x)(2\cos x-1)\ge0.
Aπ4\frac\pi4
Bπ3\frac\pi3
Cπ2\frac\pi2
D2π3\frac{2\pi}{3}
Eπ\pi

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