document.write( "Question 1046316: solve 3 sin^2 theta=4cos theta-1 \n" ); document.write( "
Algebra.Com's Answer #661783 by t0hierry(194) You can put this solution on YOUR website! 3sin^2 theta = 3 - 3 cos^2 theta = 4 cos theta - 1 \n" ); document.write( "or \n" ); document.write( "cos^2 theta + 4/3 cos theta - 4/3 = 0\r \n" ); document.write( "\n" ); document.write( "cos theta = 1/2[-4/3 +- sqrt(16/9 + 16*3/3*3)] \n" ); document.write( "cos theta = -4/6 + 1/2 4/3 sqrt 5 \n" ); document.write( "cos theta = 2/3(sqrt(5) - 1)\r \n" ); document.write( "\n" ); document.write( "Can you check? \n" ); document.write( " |