Questions in trigonometry

Select	Question
	The equation $\sin x\cos x=2$has
	The number of solutions of the given equation $\tan \theta +\sec \theta =\sqrt{3},$ where $0 < \theta <2\pi $is
	If $\sin 5x+\sin 3x+\sin x=0$, then the value of x other than 0 lying between $0\le x\le \frac{\pi }{2}$ is
	One root of the equation $\cos x-x+\frac{1}{2}=0$lies in the interval
	If $\sec x\cos 5x+1=0$, where $0
	The equation ${{\sin }^{4}}x+{{\cos }^{4}}x+\sin 2x+\alpha =0$is solvable for
	If $\|k\|\,=5$and ${{0}^{o}}\le \theta \le {{360}^{o}}$, then the number of different solutions of 3$\cos \theta +4\sin \theta =k$ is
	The number of values of x in the interval [0, 5$\pi $] satisfying the equation $3{{\sin }^{2}}x-7\sin x+2=0$is
	The equation $\sqrt{3}\sin x+\cos x=4$has
	The equation $3\cos x+4\sin x=6$has