document.write( "Question 1192560: Determine the constants a and b so that $\"+%28-3%2B4+cos%5E%282%29+x%29%2F+%281-2+sin+x%29+=+a%2Bb+sin+x+\"$ for all values of x. \n" ); document.write( "

Algebra.Com's Answer #824451 by ikleyn(52800) $\"\"$ $\"About$

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\n" ); document.write( "Determine the constants a and b so that $\"+%28-3%2B4+cos%5E%282%29+x%29%2F+%281-2+sin+x%29+=+a%2Bb+sin+x+\"$ for all values of x.
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document.write( "Transform the numerator step by step\r\n" );
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document.write( "     =  =  =  = .\r\n" );
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document.write( "So, your fraction now is\r\n" );
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document.write( "     = .\r\n" );
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document.write( "Cancel the factors ((1-2*sin(x)) in both the numerator and denominator.  You will get then\r\n" );
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document.write( "     =  = 1 + 2*sin(x).\r\n" );
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document.write( "It is just the form which you need.  So,  a= 1,  b= 2.\r\n" );
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document.write( "ANSWER.  a= 1,  b= 2.\r\n" );
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