document.write( "Question 1177378: Determine the constants a and b so that $\"+%28+-3+%2B++%28+4+cos%5E%28+2+%29+x+%29+%29+%2F+%28+1+-+2+sin+x+%29+=+a+%2B+b+sin+x+\"$ for all the values of x. Problem should be solved without a calculator. \n" ); document.write( "

Algebra.Com's Answer #806359 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "It cannot be true for  or  or any angle\r\n" );
document.write( "which is that plus or minus a multiple of 2π or 360°. That's because\r\n" );
document.write( "there will be a zero denominator then.  You might point that out to your\r\n" );
document.write( "teacher that the left side is undefined in those cases.\r\n" );
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document.write( "Here's the way to find a and b for all other values of x.\r\n" );
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document.write( "It has to be true when x=0.\r\n" );
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document.write( "So let's plug in 0 for x:\r\n" );
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document.write( "Substitute 1 for a in\r\n" );
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document.write( "It also must be true when x = 90° or π/2\r\n" );
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document.write( "So a=1 and b=2\r\n" );
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document.write( "Edwin

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