document.write( "Question 1075988: Can you please help me solve this equation: $\"+sin%28x%2B1%29=cos%28x%29+\"$ with answers between 0 and 2pi? \n" ); document.write( "

Algebra.Com's Answer #690663 by ikleyn(52778) $\"\"$ $\"About$

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\n" ); document.write( "Can you please help me solve this equation: $\"+sin%28x%2B1%29=cos%28x%29+\"$ with answers between 0 and 2pi?
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document.write( "sin(x+1) = cos(x)  <---->   =   \r\n" );
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document.write( "This equation has TWO roots in the area of interest:\r\n" );
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document.write( "1)  x+1 =   ---->  2x =   <---->  x = ,\r\n" );
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document.write( "     and \r\n" );
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document.write( "2)  x+1 =   ---->  2x =   <---->  x =  + .\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answer. The solutions are x = $\"%281%2F2%29%2A%28pi%2F2-1%29\"$ and x = $\"%281%2F2%29%2A%28pi%2F2-1%29\"$ + $\"pi%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Plots y = sin(x+1) (red) and y = cos(x) (green)\r
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\n" ); document.write( "\n" ); document.write( "The plot shows two roots in the interval [0, 2pi).\r
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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