Question 1181375
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Find the general solution of 3cos(x) + sin(x) = 0
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Our starting equation is

    3cos(x) + sin(x) = 0


It is equivalent to 

    sin(x) = - 3cos(x).


Since cos(x) is not the solution to this equation, we can divide both sides by cos(x) safely,
without loosing the solutions.  It gives the equivalent equation

    {{{sin(x)/cos(x)}}} = -3,

or

    tan(x) = -3.


The general solution to this equation is  x = {{{arctan(-3) + k*pi}}} = {{{-1.2490 + k*pi}}}  radians.    <U>ANSWER</U>
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Solved and carefully explained.