Prove: tan &#x2061;<!-- ⁡ --> &#x03C0;<!-- π --> 24 </mfrac> = 2 <m

Laurel Yoder

Laurel Yoder

Answered question

2022-05-21

Prove: tan π 24 = 2 2 + 3 3 2

Answer & Explanation

Ismael Blackwell

Ismael Blackwell

Beginner2022-05-22Added 7 answers

t a n 2 θ = 2 t a n θ / ( 1 t a n θ 2 )
Let t a n π / 12 = a , t a n π / 24 = x, use formula, we get ( x = 1 1 + a 2 ) / a = ( 1 + 2 3 ) / ( 2 3 ) = 1 / ( 2 3 ) + 2 / ( 2 3 ) = 2 3 + 2 ( 2 + 3 )

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