document.write( "Question 795495: It a general solution: 3cos squard x-1=5sinx \n" ); document.write( "
Algebra.Com's Answer #481048 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! 3cos^2x - 1 = 5sinx \n" ); document.write( "Convert cos^2x = 1 - sin^2x \n" ); document.write( "3(1 - sin^2x) - 1 = 5sinx \n" ); document.write( "3 - 3sin^2x - 1 = 5cosx \n" ); document.write( "2 - 5sinx - 3sin^2x = 0 \n" ); document.write( "(2 + sinx)(1 - 3sinx) = 0 \n" ); document.write( "2 + sinx = 0 \n" ); document.write( "sinx = -2 (no answer) \n" ); document.write( "1 - 3sinx = 0 \n" ); document.write( "sinx = 1/3 \n" ); document.write( "x = 19.5 degrees,160.5 degrees \n" ); document.write( "x = 0.34 radians, 2.8 radians. \n" ); document.write( "Hope this helps. \n" ); document.write( ":-) \n" ); document.write( " \n" ); document.write( " |