SOLUTION: Solve for x. 3csc x - [1/cos x] = 0

You want to solve

     -  = 0.


The domain of this equation are all real numbers except of  x = ,  where sin(x) = 0  or  cos(x) = 0.


In the domain, multiply both sides by  sin(x).


Since sin(x) =/= 0, you get an equivalent equation

    3 -  = 0,

which is the same as  

     3 = ,

or

     tan(x) = 3.


Hence,  the general solution to the given equation is  the set  x = arctan(3) +  = 1.24904577 +   radians, k = 0, +/-1, +/-2, . . .


ANSWER.  The general solution to the given equation is the set  x = arctan(3) +  = 1.24904577 +   radians, k = 0, +/-1, +/-2, . . .