化简sin²(π+α)sin(3π/2+α)tan(π/2-α)/tan(π-α)cos²(-α-π)

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化简sin²(π+α)sin(3π/2+α)tan(π/2-α)/tan(π-α)cos²(-α-π)化简sin²(π+α)sin(3π/2+α)tan(π/2-α)/t

化简sin²(π+α)sin(3π/2+α)tan(π/2-α)/tan(π-α)cos²(-α-π)
化简sin²(π+α)sin(3π/2+α)tan(π/2-α)/tan(π-α)cos²(-α-π)

化简sin²(π+α)sin(3π/2+α)tan(π/2-α)/tan(π-α)cos²(-α-π)
sin²(π+α)sin(3π/2+α)tan(π/2-α)/tan(π-α)cos²(-α-π)
=-sin²αcosαcotα/[-tanαcos²α]
=sinαcos²α/[sinαcosα]
=cosα