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

Toán Lớp 9: Bài 1. biết tana = 2 Tính C = 5cos²a + 2sin²a

Toán Lớp 9: Bài 1.
biết tana = 2
Tính C = 5cos²a + 2sin²a

Comments ( 1 )

  1. $\begin{array}{l} \tan a = 2 \Rightarrow {\tan ^2}a = 4\\  + {\tan ^2}a + 1 = \dfrac{1}{{{{\cos }^2}a}} \Rightarrow 5 = \dfrac{1}{{{{\cos }^2}a}} \Rightarrow {\cos ^2}a = \dfrac{1}{5}\\ C = 5{\cos ^2}a + 2{\sin ^2}a = 2{\cos ^2}a + 2{\sin ^2}a + 3{\cos ^2}a\\ C = 2 + 3{\cos ^2}a = 2 + 3.\dfrac{1}{5} = 2 + \dfrac{3}{5} = \dfrac{{13}}{5} \end{array}$  

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