document.write( "Question 819571: Solve the equations
\n" );
document.write( "I. cosxsinx-sinx=0
\n" );
document.write( "II. Cos3x+cos2x+cosx=0
\n" );
document.write( "III. 2cosx-3tanx=o \n" );
document.write( "
Algebra.Com's Answer #493209 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Solve the equations \n" ); document.write( "I. cosxsinx-sinx=0 \n" ); document.write( "II. Cos3x+cos2x+cosx=0 \n" ); document.write( "III. 2cosx-3tanx \n" ); document.write( "*** \n" ); document.write( "For interval [0,360˚] \n" ); document.write( "cosxsinx-sinx=0 \n" ); document.write( "sinx(cosx-1)=0 \n" ); document.write( "sinx=0 \n" ); document.write( "x=0 \n" ); document.write( "or \n" ); document.write( "cosx-1=0 \n" ); document.write( "cosx=1 \n" ); document.write( "x=0, 270˚ \n" ); document.write( "..\r \n" ); document.write( "\n" ); document.write( "Cos3x+cos2x+cosx=0 \n" ); document.write( "cos3x=4cos^3-3cosx(found this in my pre-calc textbook) \n" ); document.write( "cos2x=2cos^2x-1 \n" ); document.write( "4cos^3-3cosx+2cos^2x-1+cosx=0 \n" ); document.write( "4cos^3+2cos^2x-2cosx-1=0 \n" ); document.write( "(4cos^2x-2)(2cosx+1)=0 (figured this out using a graphing program on my computer) \n" ); document.write( "4cos^2x-2=0 \n" ); document.write( "cos^2x=2/4=1/2 \n" ); document.write( "cosx=±√(1/2) \n" ); document.write( "cosx=±√2/2 \n" ); document.write( "x=45˚, 315˚ \n" ); document.write( "or \n" ); document.write( "2cosx+1=0 \n" ); document.write( "cosx=-1/2 \n" ); document.write( "x=300˚ \n" ); document.write( ".. \n" ); document.write( "2cosx-3tanx=0 \n" ); document.write( " \n" ); document.write( "2cos^2(x)-3sin(x)=0 \n" ); document.write( "2(1-sin^2(x)-3sin(x)=0 \n" ); document.write( "2-2sin^2(x)-3sin(x)=0 \n" ); document.write( "2sin^2(x)+3sin(x)-2=0 \n" ); document.write( "(2sin(x)-1)(sin(x)+2)=0 \n" ); document.write( "2sin(x)-1=0 \n" ); document.write( "sin(x)=1/2 \n" ); document.write( "x=30˚ \n" ); document.write( "or \n" ); document.write( "sin(x)+2=0 \n" ); document.write( "sin(x)=2 (reject,(-1 ≤ sinx ≤ 1))\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |