Question Number 15264 by Tinkutara last updated on 08/Jun/17
![The solution set of inequation cos x + (1/2) ≥ 0 is [−π, π] (1) [0, ((2π)/3)] (2) [−((2π)/3), ((2π)/3)] (3) [0, (π/2)] (4) [−(π/2), ((3π)/2)]](Q15264.png)
$$\mathrm{The}\:\mathrm{solution}\:\mathrm{set}\:\mathrm{of}\:\mathrm{inequation} \\ $$$$\mathrm{cos}\:{x}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\:\geqslant\:\mathrm{0}\:\mathrm{is}\:\left[−\pi,\:\pi\right] \\ $$$$\left(\mathrm{1}\right)\:\left[\mathrm{0},\:\frac{\mathrm{2}\pi}{\mathrm{3}}\right] \\ $$$$\left(\mathrm{2}\right)\:\left[−\frac{\mathrm{2}\pi}{\mathrm{3}},\:\frac{\mathrm{2}\pi}{\mathrm{3}}\right] \\ $$$$\left(\mathrm{3}\right)\:\left[\mathrm{0},\:\frac{\pi}{\mathrm{2}}\right] \\ $$$$\left(\mathrm{4}\right)\:\left[−\frac{\pi}{\mathrm{2}},\:\frac{\mathrm{3}\pi}{\mathrm{2}}\right] \\ $$
Answered by mrW1 last updated on 08/Jun/17
$$\mathrm{answer}\:\left(\mathrm{2}\right) \\ $$