Question

Prove that TexFormula1" title="2 \tan30 \div 1 + tan ^{2} 30 = sin60" alt="2 \tan30 \div 1 + tan ^{2} 30 = sin60" align="absmiddle" class="latex-formula">
prove that

.

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Answer 1

Step-by-step explanation:

2tan 30° / 1 + tan² 30° =

2(⅓√3) /1 + (⅓√3)² =

⅔√3 / 1+ ⅓ =

⅔√3 / 4/3 =

2/4 √3 =

½√3 = sin 60° (proven)