Question: Ii $\frac{3 \pi}{4}
Solution:
Given $\frac{3 \pi}{4}
$\sqrt{\operatorname{cosec}^{2} x+2 \cot x}$
$=\sqrt{2 \cot x+\cot ^{2} x+1}$
$=\sqrt{(\cot x+1)^{2}}$
$=|\cot x+1|$
Since $\frac{3 \pi}{4}
i. e $\sqrt{\operatorname{cosec}^{2} x+2 \cot x}=-\cot x-1$
