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Prove that `(sqrt(3)+1)(3-cot30^@)=tan^3(60)^@-2sin60^@`

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Prove that `(sqrt(3)+1)(3-cot30^@)=tan^3(60)^@-2sin60^@`
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`L.H.S. = (sqrt3+1)(3-cot30^@) = (sqrt3+1)(3-sqrt3)`
`= (sqrt3+1)(sqrt3-1)sqrt3 = sqrt3(3-1) = 2sqrt3.`
`R.H.S. = tan^3(60^@) -2sin60^@`
`= (sqrt3)^3 - 2(sqrt3/2) = 3sqrt3 - sqrt3 = 2sqrt3`
`:. L.H.S. = R.H.S.`
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