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Prove that: `2sin^2(3pi/4)+2cos^2(pi/4)+2sec^2(pi/3)=10`

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`L.H.S. = 2sin^2((3pi)/4)+2cos^2(pi/4)+2sec^2(pi/3)`
`=2sin^2(pi-pi/4)+2cos^2(pi/4)+2sec^2(pi/3)`
`=2sin^2(pi/4)+2cos^2(pi/4)+2sec^2(pi/3)`
`=2(sin^2(pi/4)+cos^2(pi/4))+2sec^2(pi/3))`
`=2(1)+2(2^2)`
`2+8 = 10 = R.H.S.`

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