# What is the domain of  f(x)=sqrt(1-2sinx)?

In interval $\left[0 , \frac{\pi}{2}\right]$, Domain : x<=pi/6 #
Domain (Value of x) : $\left(1 - 2 \sin x\right) \ge 0 \mathmr{and} 1 \ge 2 \sin x \mathmr{and} \frac{1}{2} \ge \sin x \mathmr{and} \sin \left(\frac{\pi}{6}\right) \ge \sin x \mathmr{and} \mathmr{and} \frac{\pi}{6} \ge x \mathmr{and} x \le \frac{\pi}{6}$ [Ans]