document.write( "Question 725548: 2cos^2theta-5costheta-3=0 \n" ); document.write( "
Algebra.Com's Answer #444195 by nshah11(47)\"\" \"About 
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2cos^2(t) - 5cos(t) - 3 = 0\r
\n" ); document.write( "\n" ); document.write( "2cos^2(t) - 6cos(t) + cos(t) - 3 = 0\r
\n" ); document.write( "\n" ); document.write( "2cos(t)(cos(t) - 3) + cos(t) - 3 = 0\r
\n" ); document.write( "\n" ); document.write( "(2cos(t) + 1)(cos(t) - 3) = 0\r
\n" ); document.write( "\n" ); document.write( "cos(t) = 3 (Not possible since cos(t) ranges from -1 to 1).\r
\n" ); document.write( "\n" ); document.write( "cos(t) = -1/2 => t = 2pi/3, 4pi/3 on the interval [0, 2pi].
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