TMUA 2019 Paper 1 Q17 — Worked Solution

P1·Trigonometry, Inequalities·7.0Official · 2019 · Q17

sign-analysisproduct-inequalityinterval-length

Find the fraction of the interval

0 \leq θ \leq π

for which the inequality

(sin 2 θ - \frac{1}{2}) (sin θ - cos θ) \geq 0

is satisfied.

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