document.write( "Question 1189408: Solve : sin2x=sinx \n" ); document.write( "
Algebra.Com's Answer #820778 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"sin%282x%29=sin%28x%29\"...........use Double-Angle Identities \"sin%282x%29=+2sin%28x%29cos+%28x%29\"\r
\n" ); document.write( "\n" ); document.write( " \"2sin%28x%29cos+%28x%29=sin%28x%29\"\r
\n" ); document.write( "\n" ); document.write( "\"2sin%28x%29cos+%28x%29-sin%28x%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"sin%28x%29%282cos+%28x%29-1%29=0\"\r
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\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if \"sin%28x%29=0+\"\r
\n" ); document.write( "\n" ); document.write( "\"x=sin%5E-1%280%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=2pi%2An\"\r
\n" ); document.write( "\n" ); document.write( "\"x=pi%2B2pi%2An\"\r
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\n" ); document.write( "\n" ); document.write( "if \"2cos+%28x%29-1=0\" ->\"2cos+%28x%29=1\"->\"cos+%28x%29=1%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"x=cos%5E-1%281%2F2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=pi%2F3%2B2pi%2An\"\r
\n" ); document.write( "\n" ); document.write( "\"x=5pi%2F3%2B2pi%2An\"\r
\n" ); document.write( "\n" ); document.write( "combine solutions:\r
\n" ); document.write( "\n" ); document.write( "\"x=2pi%2An\", \"x=pi%2B2pi%2An\", \"x=pi%2F3%2B2pi%2An\", \"x=5pi%2F3%2B2pi%2An\"\r
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