document.write( "Question 1206427: Any help would be much appreciated in figure out this problem. What are all the solutions in the equation tan^2 x + tanx=0 in the interval [0,2pi).
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Algebra.Com's Answer #843904 by ikleyn(52798) $\"\"$ $\"About$

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document.write( "Actually, tan(x) has a basic period from 0 to .\r\n" );
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document.write( "The interval from 0 to   is TWO basic periods of tan(x).\r\n" );
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document.write( "Therefore, to simplify the problem, you could find the solutions to the given equation in the interval [0,) first,\r\n" );
document.write( "and then to extend (to translate) the roots from this interval [0,) to one interval forward.\r\n" );
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document.write( "In the basic interval [0,), the roots are 0 and .\r\n" );
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document.write( "After moving forward one period, two other roots are added to the set of solutions,    and  .\r\n" );
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\n" ); document.write( "\n" ); document.write( "Generally speaking, in Math it is not a good practice / (is not a good style)
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\n" ); document.write( "\n" ); document.write( " f(x) = 0, \r
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\n" ); document.write( "\n" ); document.write( "where f(x) is periodical function with the period T, in two-period interval [0,2T).\r
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\n" ); document.write( "\n" ); document.write( "It is not a good style.\r
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\n" ); document.write( "\n" ); document.write( "Such questions, as a rule, go about one single period interval [0,T).\r
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\n" ); document.write( "\n" ); document.write( "Otherwise, questions about mathematical competence of the author may arise.\r
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