document.write( "Question 1176516: Fins all exact solutions on (0, pi) for 2 cos^2(t) - 3 cos(t) = -1 \n" ); document.write( "

Algebra.Com's Answer #803613 by greenestamps(13200) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "It's a quadratic equation with cos(t) as the variable. Solve like a quadratic polynomial equation:
\n" ); document.write( "(1) get everything on one side, set equal to 0 on the other side
\n" ); document.write( "(2) factor the quadratic
\n" ); document.write( "(3) the solutions are whatever makes either factor equal to 0

\n" ); document.write( " $\"2%2Acos%28t%29%5E2-3%2Acos%28t%29=-1\"$
\n" ); document.write( " $\"2%2Acos%28t%29%5E2-3%2Acos%28t%29%2B1=0\"$
\n" ); document.write( " $\"%282cos%28t%29-1%29%28cos%28t%29-1%29=0\"$
\n" ); document.write( " $\"2cos%28t%29=1\"$ or $\"cos%28t%29=1\"$

\n" ); document.write( "You can finish from there.

\n" ); document.write( " \n" ); document.write( "

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