document.write( "Question 1137220: 3-5cosx+5sin^2x=0 solve for x \n" ); document.write( "
Algebra.Com's Answer #755056 by greenestamps(13203)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The general technique for solving an equation involving cos(x) and sin^2(x) is to replace sin^2(x) with 1-cos^2(x) to obtain a \"quadratic\" equation with cos(x) as the \"variable\"; then try to solve by factoring. \n" ); document.write( "Similarly, if an equation involves sin(x) and cos^2(x), you would get a quadratic in sin(x) by replacing cos^2(x) with 1-sin^2(x). \n" ); document.write( "Unfortunately, in this example the resulting quadratic in cos(x) does NOT factor, making it necessary to solve using a calculator. \n" ); document.write( "Then, since you have to use a calculator to solve the problem after converting the original equation into a quadratic in cos(x), you might as well just solve the original equation using a calculator. \n" ); document.write( " \n" ); document.write( " |