document.write( "Question 31496: The equation (sin x)^6 +(cos x)^6=a has a real solution for which of the below mentioned cases:-\r
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document.write( "A.0.5<=a<=1
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document.write( "B.0.25<=a<=0.5
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document.write( "C.-1<=a<=1
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document.write( "D.0<=a<=0.5
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Algebra.Com's Answer #18249 by venugopalramana(3286) You can put this solution on YOUR website! The equation (sin x)^6 +(cos x)^6=a \n" ); document.write( "A={(SINX)^2+(COSX)^2}^3-3*((SINX)^2)*((COSX)^2)*((SINX)^2+(COSX)^2) \n" ); document.write( "=1-3*((SINX)^2)*((COSX)^2)=1-(3/4)*{(SIN(2X))^2 \n" ); document.write( "=1-0=1...MAXIMUM......AND......... \n" ); document.write( "=1-1*3/4=0.25...MINIMUM \n" ); document.write( "ANSWER IS A AND B \n" ); document.write( " |