化简cos(α-π)sin²(α+2π)/tan (α+4π)tan(α+π)cos³(-α-π)

化简cos(α-π)sin²(α+2π)/tan (α+4π)tan(α+π)cos³(-α-π)
化简cos(α-π)sin²(α+2π)/tan (α+4π)tan(α+π)cos³(-α-π)

化简cos(α-π)sin²(α+2π)/tan (α+4π)tan(α+π)cos³(-α-π)
cos(α-π)sin²(α+2π)/tan (α+4π)tan(α+π)cos³(-α-π)
=(-cosα)sin²α/tanαtanα(-cos³α)
=cosαsin²α/tanαtanαcos³α
=sin²α/tan²αcos²α
=tan²α/tan²α
=1