化简以下各数式a)1÷cos²θ-1=?b)1÷cosθ-sinθtanθc)sinθ÷(开根号1-cos&s

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  • a)1÷cos²θ-1=(sin²θ+cos²θ)/cos²θ-1=tan²θ

    b)1÷cosθ-sinθtanθ=1/cosθ-sinθ*sinθ/cosθ=(1-sin²θ)/cosθ=cosθ

    c)sinθ÷(开根号1-cos²θ)=sinθ/|sinθ|=正负1 根据sinθ的正负号来判断结果

    d)1=tan²θ 则tanθ=正负1 则θ=派/4+k派/2 (k取1,2,3……)

    e)6sinθ÷sin(90°-θ)=6sinθ/cosθ=6tanθ

    f)4cos(90°-θ)-cosθ÷tan(90°-θ)=4cos(90°-θ)-sin(90-θ)/tan(90-θ)=4cos(90°-θ)-cos(90°-θ)=3cos(90°-θ)=3sinθ