document.write( "Question 1046264: what is the minimum value of 2sin^2(x)+3cos^2(x) \n" ); document.write( "

Algebra.Com's Answer #661748 by ikleyn(52834) $\"\"$ $\"About$

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\n" ); document.write( "what is the minimum value of 2sin^2(x)+3cos^2(x)
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\n" ); document.write( "\n" ); document.write( "2sin^2(x)+3cos^2(x) = ( 2sin^2(x)+2cos^2(x) ) + cos^2(x) = 1 + cos^2(x).\r
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\n" ); document.write( "\n" ); document.write( "The minimum value is 1. It is achieved when cos(x) = 0, i.e. at x = $\"pi%2F2+%2B+k%2Api\"$ , where k is any integer.\r
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