已知sinα是方程5x∧2-7x-6=0的根.求cos(2π-α)cos(π+α)tan∧2(2π-α)tan∧2(π-α)/sin(π+α)sin(2π-α)

已知sinα是方程5x∧2-7x-6=0的根.求cos(2π-α)cos(π+α)tan∧2(2π-α)tan∧2(π-α)/sin(π+α)sin(2π-α)
已知sinα是方程5x∧2-7x-6=0的根.求cos(2π-α)cos(π+α)tan∧2(2π-α)tan∧2(π-α)/sin(π+α)sin(2π-α)

已知sinα是方程5x∧2-7x-6=0的根.求cos(2π-α)cos(π+α)tan∧2(2π-α)tan∧2(π-α)/sin(π+α)sin(2π-α)
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5x²-7x-6=0
(5x+3)(x-2)=0
x=-3/5 x=2>1
取sinα=-3/5
cos(2π-α)cos(π+α)tan²(2π-α)/sin(π-α)sin(2π-α)cot(π-α)
=-cosαcosαtan²α/sinαsinαcotα
=-sinα/cosα=-sinα/[√(1-cosα²)]
=±(3/5)/(4/5)
=±3/5
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