TMUA Specimen Paper 1 Q18 — Worked Solution

P1·Trigonometry, Inequalities·7.0Specimen · P1 · Q18

tan-inequalitydouble-angleinterval-intersection

The angle

x

is measured in radians and is such that

0 \leq x \leq π

. The total length of any intervals for which

- 1 \leq tan x \leq 1

and

sin 2 x \geq 0.5

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