Find the value of `(2sin^(2)63^(@)+1+2sin^(2)27)/(3cos^(2)17^(@)-2+3cos^(2)73^(@))`

Explanation

We have, `(2sin^(2)63^(@)+1+2sin^(2)27)/(3cos^(2)17^(@)-2+3cos^(2)73^(@))`
`=(2sin^(2)63^(@)+2sin^(2)(90^(@)-63^(@))+1)/(3cos^(2)17^(@)-2+3cos^(2)(90^(@)-17^(@)))=(2sin^(2)63^(@)+2cos^(2)63^(@)+1)/(3cos^(2)17^(@)-2+3sin^(2)17^(@))`
`=(2(sin^(2)63^(@)+cos^(2)63^(@))+1)/(3(cos^(2)17^(@)+sin^(2)+17^(@))-2)=(2xx1+1)/(3xx1-2)`
`=(2+1)/(3-2)=(3)/(1)=3`.
Hence the required value is 3.