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Prove that (sqrt(3)+1)(3-cot30^@)=tan^3(...

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

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To prove that \((\sqrt{3}+1)(3-\cot 30^\circ)=\tan^3(60^\circ)-2\sin(60^\circ)\), we will evaluate both sides of the equation step by step. ### Step 1: Evaluate the Left-Hand Side (LHS) Start with the LHS: \[ LHS = (\sqrt{3}+1)(3-\cot 30^\circ) \] ...
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