document.write( "Question 1079574: For the domain 0<= x < 2pi, how many solutions does the equation 2^sin^2(x) + 2^cos^2(x) = 2 have? \n" ); document.write( "

Algebra.Com's Answer #693832 by Edwin McCravy(20060) $\"\"$ $\"About$

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document.write( "It has no solutions because the least the left side ever gets is\r\n" );
document.write( ", which is about 2.828, when the left side is p/4, 3p/4, 5p/4, and 7p/4.\r\n" );
document.write( "The largest it ever gets is 3, when x = 0, p/2, p, and 3p/2.\r\n" );
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document.write( "The left side can never equal 2.  Thus there are no solutions.\r\n" );
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document.write( "Edwin

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