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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 9: sin75độ-cos15độ+tan45độ-cos30độ

Toán Lớp 9: sin75độ-cos15độ+tan45độ-cos30độ

Comments ( 2 )

  1. $\begin{array}{l} \sin \left( {{{90}^o} – a} \right) = \cos a\\ \sin {75^o} – \cos {15^o} + \tan {45^o} – \cos {30^o}\\  = \sin {75^o} – \sin {75^o} + \tan {45^o} – \cos {30^o}\\  = \tan {45^o} – \cos {30^o}\\  = 1 – \dfrac{{\sqrt 3 }}{2} = \dfrac{{2 – \sqrt 3 }}{2} \end{array}$

  2. Giải đáp:
    $\frac{2 – √3}{2}$ 
    Lời giải và giải thích chi tiết:
    sin75độ-cos15độ+tan45độ-cos30độ
    ⇔ $\frac{√6 + √2 }{4}$ –  $\frac{√6 + √2 }{4}$ + 1 – $\frac{√3}{2}$ 
    ⇔ $\frac{2 – √3}{2}$ 

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222-9+11+12:2*14+14 = ? ( )