document.write( "Question 1205306: Find all exact solutions on [0, 2𝜋). (Enter your answers as a comma-separated list.)
\n" ); document.write( "2 cos^2(t) + cos(t) = 1 \n" ); document.write( "

Algebra.Com's Answer #842013 by ikleyn(52852) $\"\"$ $\"About$

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\n" ); document.write( "Find all exact solutions on [0, 2𝜋). (Enter your answers as a comma-separated list.)
\n" ); document.write( "2 cos^2(t) + cos(t) = 1
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document.write( "Write the original equation in the standard quadratic form \r\n" );
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document.write( "     = 0.\r\n" );
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document.write( "Factor left side\r\n" );
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document.write( "    (2cos(t)-1) * (cos(t)+1) = 0.\r\n" );
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document.write( "Case 1.  2cos(t) - 1 = 0  --->  cos(t) =   --->  t =   or  t = .\r\n" );
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document.write( "Case 2.   cos(t) + 1 = 0  --->  cos(t) = -1  --->  t = .\r\n" );
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document.write( "ANSWER.  The set of solutions is  ,    and  ,  in ascending order.\r\n" );
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