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document.write( "Please Find the general solution of:
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document.write( "sin(3x) - sin(x)= cos(2x)
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document.write( "Apply the formula
=
to the left side.\r\n" );
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document.write( " (Regarding this formula, see the lesson Addition and subtraction of trigonometric functions in this site).\r\n" );
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document.write( "You will get an equivalent equation\r\n" );
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document.write( "
=
.\r\n" );
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document.write( "Simplify it further:\r\n" );
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document.write( "
=
.\r\n" );
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document.write( "Then you have two equations:\r\n" );
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document.write( "(1) cos(2x) = 0 ---> 2x =
---> x =
, k = 0, +/-1, +/-2, . . . , \r\n" );
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document.write( "and\r\n" );
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document.write( "(2) 2*sin(x) = 1 ---> sin(x) =
---> x =
and x =
, k = 0, +/-1, +/-2, . . . .\r\n" );
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document.write( "The union of the sets (1) and (2) is your solution.\r\n" );
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