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

Toán Lớp 9: cos²25°-cos²35°+cos²45°-cos²55°+cos²65°

Toán Lớp 9: cos²25°-cos²35°+cos²45°-cos²55°+cos²65°

Comments ( 2 )

  1. #huy
    cos^(2)25^o – cos^(2)35^o + cos^(2)45^o – cos^(2)55^o + cos^(2)65^o
    =(cos^(2)25^o + cos^(2)65^o)-(cos^(2)35^o + cos^(2)55^o)+cos^(2)45^o
    =(cos^(2)25^o + sin^(2)25^o)-(cos^(2)35^o + sin^(2)35^o)+((\sqrt{2})/2)^2
    =1-1+1/2
    =1/2
     

  2. #tnvt
    cos^2 25^0-cos^2 35^0+cos^2 45^0-cos^2 55^0+cos^2 65^0
    =cos^2 25^0-cos^2 35^0+cos^2 45^0- sin^2 (90^0-55^0)+sin^2 (90^0-65^0)
    =cos^2 25^0-cos^2 35^0 +cos^2 45^0 -sin^2 35^0+sin^2 25^0
    =(cos^2 25^0+sin^2 25^0)-(cos^2 35^0+sin^2 35^0)+(cos45^0)^2
    =1-1+(\frac{\sqrt{2}}{2})^2
    =\frac{2}{4}
    =1/2
    Ta áp dụng công thức : sin^2a+cos^2a=1
     

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