Prove that 2 \tan30 / 1 + tan ^(2) 30 = sin60 prove that .

Adlorem asked Jul 10, 2022

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16 votes

Prove that

$2 \tan30 / 1 + tan ^(2) 30 = sin60$
prove that

.

Adlorem asked Jul 10, 2022

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10 votes

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)

Dan Doyon answered Jul 15, 2022

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