Questions in trigonometry

Select	Question
	If $A+B+C={{180}^{o}},$ then the value of $(\cot B+\cot C)$ $(\cot C+\cot A)\,\,(\cot A+\cot B)$will be
	If $A+B+C={{180}^{o}},$ then the value of $\cot \frac{A}{2}+\cot \frac{B}{2}+\cot \frac{C}{2}$ will be
	If $A+B+C={{270}^{o}},$ then $\cos \,2A+\cos 2B+\cos 2C+4\sin A\,\sin B\,\sin C=$
	If $A+B+C={{180}^{o}},$then $\sum{\tan \frac{A}{2}\tan \frac{B}{2}=}$
	If $A+B+C=\pi \,(A,B,C>0)$ and the angle C is obtuse then
	If A, B, C are acute positive angles such that $A+B+C=\pi $ and $\cot A\,\cot \,B\,\cot \,C=K,$ then
	If $A+B+C=\frac{3\pi }{2},$ then $\cos 2A+\cos 2B+\cos 2C=$
	Maximum value of $f(x)=\sin x+\cos x$ is
	In the graph of the function$\sqrt{3}\sin x+\cos x$ the maximum distance of a point from x-axis is
	The maximum value of the function $f(x)=3\sin x+4\cos x$ is