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

Toán Lớp 9: cho gọc nhọn` :\alpha` có `tan\alpha=2` tính `M=(\sin^2(\alpha)+3\sin(\alpha).\cos(\alpha)+\cos^2(\alpha))/(\sin(\alpha).\cos(\alpha)+c

Toán Lớp 9: cho gọc nhọn :\alpha
có tan\alpha=2
tính M=(\sin^2(\alpha)+3\sin(\alpha).\cos(\alpha)+\cos^2(\alpha))/(\sin(\alpha).\cos(\alpha)+cos^2(\alpha)+1)

Comments ( 1 )

  1. Giải đáp:
    M={11}/{8} 
    Lời giải và giải thích chi tiết:
    M={sin^2\alpha+3sin\alpha.cos\alpha+cos^2\alpha}/{sin\alpha.cos\alpha+cos^2\alpha+1}
    M=sin^2\alpha+3sin\alpha.cos\alpha+cos^2\alpha:sin\alpha.cos\alpha+cos^2\alpha+1
    M={sin^2\alpha+3sin\alpha.cos\alpha+cos^2\alpha}/{cos^2\alpha}:{sin\alpha.cos\alpha+cos^2\alpha+1}/{cos^2\alpha}
    M={tan^2\alpha+3tan\alpha+1}/{tan\alpha+1+1+tan^2\alpha}
    Mà : tan\alpha=2
    ⇒ M={2^2+3.2+1}/{2+2+2^2}
    M={4+6+1}/{4+4}
    M={11}/{8}

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