document.write( "Question 42390: Write the equation sin y=x in the form of an inverse function.\r
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Algebra.Com's Answer #27547 by AnlytcPhil(1807)\"\" \"About 
You can put this solution on YOUR website!
Write the equation sin(y) = x in the form of an inverse function.\r\n" );
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document.write( "The equation in words would be\r\n" );
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document.write( "\"The sine of y is x\"\r\n" );
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document.write( "That sentence can be written this way:\r\n" );
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document.write( "\"y is what we must take the sine of to get x\"\r\n" );
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document.write( "The mathematical symbol for the words\r\n" );
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document.write( "\"what we must take the sine of to get\"\r\n" );
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document.write( "is \r\n" );
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document.write( "sin-1\r\n" );
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document.write( "That is not really a \"negative one exponent\", it's\r\n" );
document.write( "only written that way because a negative\r\n" );
document.write( "one exponent is what inverts a fraction, and that \r\n" );
document.write( "reminds us that we are writing another kind of \r\n" );
document.write( "inverse somewhat analogous to that, but far from\r\n" );
document.write( "meaning that.\r\n" );
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document.write( "So from the beginning:\r\n" );
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document.write( "sin(y) = x\r\n" );
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document.write( "translates as\r\n" );
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document.write( "\"The sine of y is x\"\r\n" );
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document.write( "which translates as \r\n" );
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document.write( "\"y is what we have to take the sine of to get x\"\r\n" );
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document.write( "which translates as\r\n" );
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document.write( "y = sin-1(x)\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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