Hi

Need help solving $\displaystyle cot(x)+3tan(x)=5cosec(x)$, i have tried to do the following:

$\displaystyle \frac{1}{tan(x)+3tan(x)}=\frac{5}{sin(x)}$

$\displaystyle \frac{cos(x)}{sin(x)}+\frac{3sin(x)}{cos(x)}=\frac {5}{sin(x)}$

$\displaystyle \frac{cos^2(x)+3sin^2(x)}{sin(x)cos(x)}=\frac{5cos (x)}{sin(x)cos(x)}$

after this i contiue and i couldn't find the solution.

P.S