40. Prove that (√3+ 1) (3-cot 30°) = tan³60° - 2 sin 60°.

1.	40. Prove that (√3+ 1) (3-cot 30°) = tan³60° - 2 sin 60°.
Answer» From LHS. From RHS =(3+1) (3-√3). =3√3-2√3/2= 3√3+3-3-√3. =6√3-2√3/2=2√3. =4√3/2 =2√3 LHS. = RHS.

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