2sin-x-1-sin-x-gt-0-

Question Number 147134 by mathdanisur last updated on 18/Jul/21

\sqrt{2 s i n (x) - 1} \cdot s i n (x) > 0

Commented by hknkrc46 last updated on 18/Jul/21

▸ 2 \sin x - 1 > 0 \land \sin x > 0

\Rightarrow \sin x > \frac{1}{2} \land \sin x > 0 \equiv \sin x > \frac{1}{2}

▸ \frac{π}{6} < x < \frac{5 π}{6}

Commented by mathdanisur last updated on 18/Jul/21

t h a n k s S i r