Finding Exact Value $7\csc(x)\cot(x)-9\cot(x)=0$ The values for $x$ on $[0,2\pi)$ solving $7\csc(x)\cot(x)-9\cot(x)=0$ are?
I think that $\dfrac{\pi}2$ is one but I can't find the others. what are the others?

$7\csc x\cot x-9\cot x=0\implies7\cos x-9\cos x\sin x=0\implies (\cos x)(7-9\sin x)=0$,
so $\cos x=0\implies x=\frac{\pi}{2}$ or $x=\frac{3\pi}{2}$  
and $\sin x=\frac{7}{9}\implies x=\sin^{-1}\frac{7}{9}$ or $x=\pi-\sin^{-1}\frac{7}{9}$.
