1.

The value of `3(sinx-cosx)^(4)+6(sinx+cosx)^(2)+4(sin^(6)xcos^(6)x)` isA. 14B. 11C. 12D. 13

Answer» Correct Answer - d
`3(sinx-cosx)^(4)+6(sinx+cosx)^(2)+4(sin^(6)x+cos^(6)x)`
Put `x=90^(@)`
`3(sin90^(@)-cos90^(@))^(2)+6(sin90^(@))`
`=3(1-0)^(4)+ 6(1+0) ^(2)+4(1^(6)+0)`
`=3+ 6+4= 13`


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