document.write( "Question 1009490: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2π). (Enter your answers as a comma-separated list.)\r
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Algebra.Com's Answer #624972 by ikleyn(52866) $\"\"$ $\"About$

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document.write( "The half-argument formula says that  = . \r\n" );
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document.write( "(See, for example, the lesson Trigonometric functions of half argument in this site).\r\n" );
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document.write( "Substitute it into the original equation, and you will get\r\n" );
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document.write( " -  = .\r\n" );
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document.write( "Now factor it:\r\n" );
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document.write( ". = .\r\n" );
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document.write( "Thus you get two equations:\r\n" );
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document.write( "1)  = ,  which has two solutions   =  and  in the given interval for .\r\n" );
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document.write( "2)  = ,  or   = 0,  which has two solutions   =  and  in the given interval for .\r\n" );
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document.write( "Answer. The solutions are  = , ,  and .\r\n" );
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