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 $\sqrt{\operatorname{cosec}^{2} x+2 \cot x}=-\cot x-1$
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