Find the general solution of the following equation:

$\sin x\tan x-1=\tan x-\sin x$

Find the general solution of the following equation:

$\cos x+\sin x=1$

Find the general solution of the equation $\cos x-\sin x=1$

Find the general solution of the following equation:

$\sqrt{3}\cos x+\sin x=1$

Find the general solution of the equation $2\tan x-\cot x+1=0$.

Find the general solution of the equation $\sin x\tan x-1=\tan x-\sin x$

Find the general solution of the following equation:

$\cot x+\tan x=2cosecx$