Questions in trigonometry

Select	Question
	The maximum value of $a\cos x+b\sin x$is
	The minimum value of $3\cos x+4\sin x+5$is
	The greatest and least value of $\sin x\cos x$ are
	The minimum value of $\cos \theta +\sin \theta $ is
	The maximum value of $4{{\sin }^{2}}x+3{{\cos }^{2}}x$ is
	The maximum value of $\sin \left( x+\frac{\pi }{6} \right)+\cos \left( x+\frac{\pi }{6} \right)$ in the interval $\left( 0,\frac{\pi }{2} \right)$is attained at
	The minimum value of $9{{\tan }^{2}}\theta +4{{\cot }^{2}}\theta $is
	$\alpha ,\,\,\beta ,\,\,\gamma $ are real numbers satisfying $\cot \frac{A}{2}\cot \frac{B}{2}\cot \frac{C}{2}$. The minimum value of the given expression $\sin \alpha +\sin \beta +\sin \gamma $ is
	The minimum value of $3\sin \theta +4\cos \theta $ is
	Maximum value of $\sin x-\cos x$ is equal to