document.write( "Question 1054639: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2π). (Enter your answers as a comma-separated list.)
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Algebra.Com's Answer #669837 by ikleyn(52799) $\"\"$ $\"About$

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\n" ); document.write( "Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2π). (Enter your answers as a comma-separated list.)
\n" ); document.write( "cos(2θ) + sin2(θ) = 0
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document.write( "     What is  ?   Is it  ?\r\n" );
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document.write( "     You use so complicated terminology and are not able to write the equation in an unambiguous way?\r\n" );
document.write( "     I see a disproportion in it.\r\n" );
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document.write( "OK, I will assume that the equation is \r\n" );
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document.write( " = 0.\r\n" );
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document.write( "Use the double-angle formula   =   and replace   by  .\r\n" );
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document.write( "Then you will get   = .\r\n" );
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document.write( "Thus the original equation takes the form\r\n" );
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document.write( " +  = 0,  or\r\n" );
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document.write( " = 1,  or\r\n" );
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document.write( " = +/-1.\r\n" );
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document.write( "Answer.   = ,  k = 0, +/-1, +/-2, . . . \r\n" );
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